Exhibit 3.1

THIRD

AMENDED AND RESTATED

BYLAWS

OF

RESMED INC.,

A DELAWARE CORPORATION

As Approved and Adopted by Board Resolution

February 23, 2007

THIRD

AMENDED AND RESTATED

BYLAWS

OF

RESMED INC.,

A DELAWARE CORPORATION

TABLE OF CONTENTS

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THIRD

AMENDED AND RESTATED

BYLAWS

OF

RESMED INC.,

A DELAWARE CORPORATION

ARTICLE I.

MEETINGS OF STOCKHOLDERS

Section 1. Annual Meeting. A meeting of stockholders shall be held annually for the election of directors and the transaction of such other business as is related to the purpose or purposes set forth in the notice of meeting on such date as may be fixed by the Board of Directors, or if no date is so fixed on the second Tuesday in April in each and every year, unless such day shall fall on a legal holiday, in which case such meeting shall be held on the next succeeding business day, at such time and at such place as may be fixed by the Board of Directors.

Section 2. Special Meetings. Special meetings of the stockholders for any purpose may be called by the Board of Directors, the Chairman of the Board, the President or the Secretary, and shall be called by the Chairman of the Board, the President or the Secretary at the written request of the holders of record of a majority of the outstanding shares of the Corporation entitled to vote at such meeting. Special meetings shall be held at such time as may be fixed in the call and stated in the notices of meeting or waiver thereof. At any special meeting only such business may be transacted as is related to the purpose or purposes for which the meeting is convened.

Section 3. Place of Meetings. Meetings of stockholders shall be held at such place, within or without the State of Delaware or the United States of America, as may be fixed in the call and stated in the notice of meeting or waiver thereof.

Section 4. Notice of Meetings; Adjourned Meetings. Notice of each meeting of stockholders shall be given in writing and shall state the place, date and hour of the meeting. The purpose or purposes for which the meeting is called shall be stated in the notices of each special meeting and of each annual meeting at which any business other than the election of directors is to be transacted.

A copy of the notice of any meeting shall be given, personally or by mail, not less than ten (10) nor more than sixty (60) days before the date of the meeting, to each stockholder entitled to vote at such meeting. If mailed, such notice shall be deemed given when deposited in the United States mail, with postage thereon prepaid, directed to the stockholder at his address as it appears on the record of stockholders.

When a meeting is adjourned for less than thirty (30) days in any one adjournment, it shall not be necessary to give any notice of the adjourned meeting if the time and place to which the meeting is adjourned are announced at the meeting at which the adjournment

is taken, and at the adjourned meeting any business may be transacted that might have been transacted on the original date of the meeting. When a meeting is adjourned for thirty (30) days or more, notice of the adjourned meeting shall be given as in the case of an original meeting.

Section 5. Waiver of Notice. The transactions of any meeting of stockholders, however called and with whatever notice, if any, are as valid as though had at a meeting duly held after regular call and notice, if: (a) all the stockholders entitled to vote are present in person or by proxy and no objection to holding the meeting is made by anyone so present, and (b) if, either before or after the meeting, each of the persons entitled to vote, not present in person or by proxy, signed a written waiver of notice, or a consent to the holding of the meeting, or an approval of the action taken as shown by the minutes thereof.

Whenever notice is required to be given to any stockholder, a written waiver thereof signed by such stockholder, whether before or after the time thereon stated, shall be deemed equivalent to such notice. Attendance of a person at a meeting of stockholders shall constitute a waiver of notice of such meeting, except when such stockholder attends for the express purpose of objecting, at the beginning of the meeting, to the transaction of any business because the meeting is not lawfully called or convened. Neither the business to be transacted at, nor the purpose of any meeting of stockholders need be specified in any written waiver of notice thereof.

Section 6. Qualification of Voters. Except as may be otherwise provided in the Certificate of Incorporation, every stockholder of record shall be entitled to one vote on each matter submitted to a vote at a meeting of stockholders for every share standing in his name on the record of stockholders.

Section 7. Quorum. At any meeting of the stockholders the presence, in person or by proxy, of the holders of a majority of the shares entitled to vote thereat shall constitute a quorum for the transaction of any business.

When a quorum is once present to organize a meeting, it is not broken by the subsequent withdrawal of any stockholders.

The stockholders present may adjourn the meeting despite the absence of a quorum.

Section 8. Proxies. Every stockholder entitled to vote at a meeting of stockholders or to express consent or dissent without a meeting may authorize another person or persons to act for him by proxy.

Every proxy must be executed by the stockholder or his attorney-in-fact. No proxy shall be valid after the expiration of three (3) years from the date thereof unless otherwise provided in the proxy. Every proxy shall be revocable at the pleasure of the stockholder executing it, except as otherwise provided therein and as permitted by law. Except as otherwise provided in the proxy, any proxy holder may appoint in writing a substitute to act in his place.

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Section 9. Voting. Except as otherwise required by law, directors shall be elected by a plurality of the votes cast at a meeting of stockholders by the holders of shares entitled to vote in the election.

Whenever any corporate action, other than the election of directors, is to be taken by vote of the stockholders at a meeting, it shall, except as otherwise required by law or the Certificate of Incorporation, be authorized by a majority of the votes cast thereat, in person or by proxy.

Section 10. Action Without A Meeting. Whenever stockholders are required or permitted to take any action at a meeting or by vote, such action may be taken without a meeting, without prior notice and without a vote, by consent in writing setting forth the action so taken, signed by the holders of outstanding shares having not less than the minimum number of votes that would be necessary to authorize or take such action at a meeting at which all shares entitled to vote thereon were present and voted. Prompt notice of the taking of the corporate action without a meeting by less than unanimous written consent shall be given to those stockholders who have not consented in writing.

Section 11. Record Date. The Board of Directors is authorized to fix a day not more than sixty (60) days nor less than ten (10) days prior to the day of holding any meeting of stockholders as the day as of which stockholders entitled to notice of and to vote at such meeting shall be determined, and only stockholders of record on such day shall be entitled to notice or to vote at such meeting.

Section 12. Inspectors of Election. The Chairman of any meeting of the stockholders may appoint one or more Inspectors of Election. Any Inspector so appointed to act at any meeting of the stockholders, before entering upon the discharge of his or her duties, shall be sworn faithfully to execute the duties of an Inspector at such meeting with strict impartiality, and according to the best of his or her ability.

Section 13. Notice of Stockholder Business and Nominations.

(a) Annual Meetings of Stockholders.

(1) Nominations of persons for election to the Board of Directors of the corporation and the proposal of business to be considered by the stockholders may be made at an annual meeting of stockholders only (a) pursuant to the corporation’s notice of meeting (or any supplement thereto), (b) by or at the direction of the Board of Directors or the Chairman of the Board or (c) by any stockholder of the corporation who was a stockholder of the corporation of record at the time the notice provided for in this Section 13 is delivered to the Secretary of the corporation, who is entitled to vote at the meeting and complies with the notice procedures set forth in this Section 13.

(2) For nominations or other business to be properly brought before an annual meeting by a stockholder pursuant to clause (c) of paragraph (a)(1) of this Section 13, the stockholder must have given timely notice thereof in writing to the Secretary of the corporation and such other business must otherwise be a proper matter for stockholder action. To be timely, a stockholder’s notice shall be delivered to the Secretary at the principal executive offices of the corporation not later than the close of business on the

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seventieth (70th) day nor earlier than the close of business on the ninetieth (90th) day prior to the first anniversary of the preceding year’s annual meeting; provided, however, that in the event that the date of the annual meeting is more than twenty (20) days before or more than seventy (70) days after such anniversary date, notice by the stockholder to be timely must be so delivered not earlier than the close of business on the (90th) ninetieth day prior to such annual meeting and not later than the close of business on the later of the (70th) seventieth day prior to such annual meeting or the tenth (10th) day following the day on which public announcement of the date of such meeting is first made by the corporation. In no event shall the public announcement of an adjournment or postponement of an annual meeting commence a new time period for the giving of a stockholder’s notice as described above. Such stockholder’s notice shall set forth: (a) as to each person whom the stockholder proposes to nominate for election or reelection as a director all information relating to such person that is required to be disclosed in solicitations of proxies for election of directors in an election contest, or is otherwise required, in each case pursuant to Regulation 14A under the Securities Exchange Act of 1934, as amended (the “Exchange Act”) and Rule 14a-12 thereunder (and such person’s written consent to being named in the proxy statement as a nominee and to serving as a director if elected); (b) as to any other business that the stockholder proposes to bring before the meeting, a brief description of the business desired to be brought before the meeting, the reasons for conducting such business at the meeting and any material interest in such business of such stockholder and the beneficial owner, if any, on whose behalf the proposal is made, and in the event that such business includes a proposal to amend the By-laws of the corporation, the language of the proposed amendment; and (c) as to the stockholder giving the notice and the beneficial owner, if any, on whose behalf the nomination or proposal is made (i) the name and address of such stockholder, as they appear on the corporation’s books, and of such beneficial owner, (ii) the class and number of shares of the corporation which are owned beneficially and of record by such stockholder and such beneficial owner, (iii) a representation that the stockholder is a holder of record of stock of the corporation entitled to vote at such meeting and intends to appear in person or by proxy at the meeting to propose such business or nomination, and (iv) a representation whether the stockholder or the beneficial owner, if any, intends or is part of a group which intends to (a) deliver a proxy statement and form of proxy to holders of at least the percentage of the corporation’s outstanding Common Stock required to approve or adopt the proposal or elect the nominee and/or (b) otherwise solicit proxies from stockholders in support of such proposal or nomination.

(3) Notwithstanding anything in the second sentence of paragraph (a)(2) of this Section 13 to the contrary, in the event that the number of directors to be elected to the Board of Directors of the corporation is increased and there is no public announcement by the corporation naming all of the nominees for director or specifying the size of the increased Board of Directors at least eighty (80) days prior to the first anniversary of the preceding year’s annual meeting, a stockholder’s notice required by this Section 13 shall also be considered timely, but only with respect to nominees for any new positions created by such increase, if it shall be delivered to the Secretary at the principal executive offices of the corporation not later than the close of business on the tenth (10th) day following the day on which such public announcement is first made by the corporation.

(b) Special Meetings of Stockholders. Only such business shall be conducted at a special meeting of stockholders as shall have been brought before the meeting pursuant to the corporation’s notice of meeting. Nominations of persons for election to the Board of Directors may be made at a

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special meeting of stockholders at which directors are to be elected pursuant to the corporation’s notice of meeting (a) by or at the direction of the Board of Directors or (b) provided that the Board of Directors has determined that directors shall be elected at such meeting, by any stockholder of the corporation who is a stockholder of record at the time the notice provided for in this Section 13 is delivered to the Secretary of the corporation, who shall be entitled to vote at the meeting and who complies with the notice procedures set forth in this Section 13. In the event the corporation calls a special meeting of stockholders for the purpose of electing one or more directors to the Board of Directors, any such stockholder may nominate a person or persons (as the case may be) for election to such position(s) as specified in the corporation’s notice of meeting, if the stockholder’s notice required by paragraph (A)(2) of this Section 13 shall be delivered to the Secretary at the principal executive offices of the corporation not earlier than the close of business on the ninetieth day prior to such special meeting and not later than the close of business on the later of the seventieth day prior to such special meeting, or the tenth (10th) day following the day on which public announcement is first made of the date of the special meeting and of the nominees proposed by the Board of Directors to be elected at such meeting. In no event shall the public announcement of an adjournment or postponement of a special meeting commence a new time period for the giving of a stockholder’s notice as described above.

(c) General.

(1) Only such persons who are nominated in accordance with the procedures set forth in this Section 13 shall be eligible to be elected at an annual or special meeting of stockholders of the corporation to serve as directors and only such business shall be conducted at a meeting of stockholders as shall have been brought before the meeting in accordance with the procedures set forth in this Section 13. Except as otherwise provided by law, the Certificate of Incorporation or these By-laws, the chairman of the meeting shall have the power and duty to (i) determine whether a nomination or any business proposed to be brought before the meeting was made or proposed, as the case may be, in accordance with the procedures set forth in this Section 13 and (ii) if any proposed nomination or business is not in compliance with this Section 13, including if the stockholder or beneficial owner, if any, on whose behalf the nomination or proposal is made solicits or is part of a group which solicits proxies in support of such stockholder’s proposal without the stockholder having made the representation required by clause (c)(iii) of Section (a)(2) of this By-law, to declare that such defective nomination shall be disregarded or that such proposed business shall not be transacted.

(2) For purposes of this Section 13, “public announcement” shall mean disclosure in a press release reported by the Dow Jones News Service, Associated Press or comparable national news service or in a document publicly filed by the corporation with the Securities and Exchange Commission pursuant to Section 13, 14 or 15(d) of the Exchange Act.

(3) Notwithstanding the foregoing provisions of this Section 13, a stockholder shall also comply with all applicable requirements of the Exchange Act and the rules and regulations thereunder with respect to the matters set forth in this Section 13. Nothing in this Section 13 shall be deemed to affect any rights (i) of stockholders to request inclusion of proposals in the corporation’s proxy statement pursuant to Rule 14a-8 under the Exchange Act or (ii) of the holders of any series of Preferred Stock to elect directors under specified circumstances.

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ARTICLE II.

BOARD OF DIRECTORS

Section 1. Powers. Except as otherwise provided by law, the Certificate of Incorporation or these Bylaws, the business of the Corporation shall be managed by a Board of Directors who may exercise all the powers of the Corporation.

Section 2. Number, Election and Term of Office. The total number of persons serving on the Board of Directors shall be not less than one (1) nor more than thirteen (13), with the exact number of directors to be determined from time to time by resolution adopted by affirmative vote of a majority of the directors then in office. The Board of Directors shall be divided into three classes, such classes to be as nearly equal in number as possible. At each annual meeting of stockholders, successors to the class of directors whose term expires at that annual meeting shall be elected for a three year term. If the number of directors is changed, the Board of Directors shall apportion the directors who will serve after giving effect to such change among the classes so as to maintain the number of directors in each class as nearly equal as possible, and any additional director of any class elected to fill a vacancy resulting from an increase in such class shall hold office for a term that shall coincide with the remaining term of that class, but in no case will a decrease in the number of directors shorten the term of any incumbent director.

Section 3. Resignations. Any director of the Corporation may resign at any time by giving written notice to the Board of Directors, the Chairman of the Board, the President or the Secretary of the Corporation. Such resignation shall take effect at the time specified therein, and unless otherwise specified therein, the acceptance of such resignation shall not be necessary to make it effective.

Section 4. Removal of Directors. Any or all of the directors may be removed with or without cause by vote of the stockholders.

Section 5. Newly Created Directorships and Vacancies. Newly created directorships resulting from an increase in the number of directors and vacancies occurring in the Board of Directors for any reason, except the removal of directors by stockholders without cause, may be filled by the affirmative vote of a majority of the directors then in office, although less than a quorum exists, or may be filled by the stockholders. Any vacancy occurring as a result of the removal of a director by the stockholders without cause shall be filled by the stockholders. A director elected to fill a vacancy or a newly created directorship shall be elected to hold office until the next election of his respective classification and until his successor is elected and qualified.

Section 6. Executive and Other Committee of Directors. The Board of Directors, by resolution adopted by a majority of the entire Board, may designate from among its members an executive committee and other committees, each consisting of one or more

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directors, and each of which, to the extent provided in the resolution, shall have all the authority of the Board to the full extent authorized by law and including the power and authority to declare a dividend or to authorize the issuance of stock.

The Board of Directors may designate one or more directors as alternate members of any such committee, who may replace any absent member or members at any meeting of such committee.

Section 7. Compensation of Directors. The Board of Directors shall have authority to fix the compensation of directors for services in any capacity, or to allow a fixed sum plus expenses, if any, for attendance at meetings of the Board or of committees designated thereby.

Section 8. Interest of Director in a Transaction. (a) No contract or transaction between the Corporation and one or more of its directors or officers, or between the Corporation and any other corporation, partnership, association or other organization in which one or more of its directors or officers are directors or officers, or have a financial interest, shall be void or voidable solely for this reason, or solely because the director or officer is present at or participates in the meeting of the Board or committee thereof which authorized the contract or transaction, or solely because his or their votes are counted for such purpose, if:

(1) The material facts as to his relationship or interest and as to the contract or transaction are disclosed or are known to the Board of Directors or the committee, and the Board or committee, in good faith, authorizes the contract or transaction by the affirmative vote of a majority of the disinterested directors, even though the disinterested directors be less than a quorum; or

(2) The material facts as to his relationship or interest and as to the contract or transaction are disclosed or are known to the stockholders entitled to vote thereon, and the contract or transaction is specifically approved, in good faith, by vote of the stockholders; or

(3) The contract or transaction is fair as to the Corporation as of the time it is authorized, approved or ratified, by the Board of Directors, a committee thereof, or the stockholders.

(b) Common or interested directors may be counted in determining the presence of a quorum at a meeting of the Board of Directors or of a committee which authorized the contract or transaction.

ARTICLE III.

MEETINGS OF THE BOARD

Section 1. Regular Meetings. Regular meetings of the Board of Directors may be held without notice at such time and place, within or without the State of Delaware or the United States of America, as may from time to time be fixed by the Board.

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Section 2. Special Meetings; Notice; Waiver. Special meetings of the Board of Directors may be held at any time and place, within or without the State of Delaware or the United States of America, upon the call of the Chairman of the Board, the President or the Secretary, by oral, facsimile, telegram or written notice, duly given to or sent or mailed to each director not less than two (2) days before such meeting. Special meetings shall be called by the Chairman of the Board, the President or the Secretary on the written request of any two directors.

Notice of a special meeting need not be given to any director who submits a signed waiver or notice whether before or after the meeting, or who attends the meeting without protesting, prior thereto or at its commencement, the lack of notice to him.

A notice, or waiver of notice, need not specify the purpose of any special meeting of the Board of Directors.

Section 3. Quorum; Action by the Board; Adjournment. At all meetings of the Board of Directors, a majority of the whole Board shall constitute a quorum for the transaction of business; except that when the number of directors constituting the whole Board shall be an even number, one-half of that number shall constitute a quorum.

The vote of a majority of the directors present at the time of the vote, if a quorum is present at such time, shall be the act of the Board, except as may be otherwise specifically provided by law or by the Certificate of Incorporation or by these Bylaws.

A majority of the directors present, whether or not a quorum is present, may adjourn any meeting to another time and place.

Section 4. Action Without a Meeting. Any action required or permitted to be taken at any meeting of the Board, or any committee thereof, may be taken without a meeting if all members of the Board or committee, as the case may be, consent thereto in writing, and the writing or writings are filed with the minutes or proceedings of the Board or committee, whether done before or after the action so taken.

Section 5. Action Taken by Conference Telephone. Members of the Board of Directors or any committee thereof may participate in a meeting by means of conference telephone or similar communications equipment by means of which all persons participating in the meeting can hear each other.

ARTICLE IV.

OFFICERS

Section 1. Officers. The Board of Directors shall elect a President, one or more Vice Presidents, a Secretary and a Treasurer of the Corporation, and from time to time may elect or appoint such other officers as it may determine. Any two or more offices may be held by the same person.

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Securities of other corporations held by the Corporation may be voted by any officer designated by the Board and, in the absence of any such designation, by the President, any Vice President, the Secretary, or the Treasurer.

The Board may require any officer to give security for the faithful performance of his duties.

Section 2. President. The President shall be the chief executive officer and chief operating officer of the Corporation with all the rights and powers incident to that position.

Section 3. Vice President. The Vice Presidents shall perform such duties as may be prescribed or assigned to them by the Board of Directors, the Chairman of the Board, or the President. In the absence of the President, the first-elected Vice President shall perform the duties of the President. In the event of the refusal or incapacity of the President to function as such, the first-elected Vice President shall perform the duties of the President until such time as the Board of Directors elects a new President. In the event of the absence, refusal or incapacity of the first-elected Vice President, the other Vice Presidents, in order of their rank, shall so perform the duties of the President, and the order of rank of such other Vice Presidents shall be determined by the designated rank of their offices or, in the absence of such designation, by seniority in the office of Vice President; provided that said order or rank may be established otherwise by action of the Board of Directors.

Section 4. Treasurer. The Treasurer shall perform all the duties customary to that office, and shall have the care and custody of the funds and securities of the Corporation. He shall at all reasonable times exhibit his books and accounts to any director upon application, and shall give such bond or bonds for the faithful performance of his duties with such surety or sureties as the Board of Directors from time to time may determine.

Section 5. Secretary. The Secretary shall act as secretary of the Corporation and shall keep the minutes of the Board of Directors and of the stockholders, have the custody of the seal of the Corporation, and perform all of the other duties usual to that office.

Section 6. Assistant Treasurer and Assistant Secretary. Any Assistant Treasurer or Assistant Secretary shall perform such duties as may be prescribed or assigned to him by the Board of Directors, the Chairman of the Board, or the President. An Assistant Treasurer shall give such bond or bonds for the faithful performance of his duties with such surety or sureties as the Board of Directors from time to time may determine.

Section 7. Term of Office; Removal. Each officer shall hold office for such term as may be prescribed by the Board. Any officer may be removed at any time by the Board with or without cause. The removal of an officer without cause shall be without prejudice to his contract rights, if any. The election or appointment of an officer shall not, of itself, create contract rights.

Section 8. Compensation. The compensation of all officers of the Corporation shall be fixed by the Board of Directors.

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ARTICLE V.

SHARE CERTIFICATES

Section 1. Form of Share Certificates. The shares of the Corporation shall be represented by certificates, in such form as the Board of Directors may from time to time prescribe, signed by the Chairman of the Board, the President or a Vice President, and by the Secretary, an Assistant Secretary, the Treasurer or an Assistant Treasurer, and shall be sealed with the seal of the Corporation or a facsimile thereof. The signatures of the officers upon a certificate may be facsimiles if the certificate is countersigned by a transfer agent or registered by a registrar other than the Corporation or its employees. In case any such officer who has signed or whose facsimile signature has been placed upon a certificate shall have ceased to be such officer before such certificate is issued, it may be issued by the Corporation with the same effect as if he were such officer at the date of issue.

Section 2. Lost Certificates. In case of the loss, theft, mutilation or destruction of a stock certificate, a duplicate certificate will be issued by the Corporation upon notification thereof and receipt of such proper indemnity or assurances as the Board of Directors may require.

Section 3. Transfer of Shares. Transfers of shares of stock shall be made upon the books of the Corporation by the registered holder in person or by a duly authorized attorney, upon surrender of the certificate or certificates for such shares properly endorsed.

Section 4. Registered Stockholders. Except as otherwise provided by law, the Corporation shall be entitled to recognize the exclusive right of a person registered on its books as the owner of shares to receive dividends or other distributions and to vote as such owner, and to hold such person liable for calls and assessments, and shall not be bound to recognize any equitable or legal claim to or interest in such shares on the part of any other person.

ARTICLE VI.

INDEMNIFICATION

Section 1. Actions by or in the Right of the Corporation. Any person made a party to an action by or in the right of the Corporation to procure a judgment in its favor by reason of the fact that he, his testator or intestate, is or was a director or officer of the Corporation shall be indemnified by the Corporation against the reasonable expenses, including attorneys fees, actually and necessarily incurred by him in connection with the defense of such action or in connection with an appeal therein, to the fullest extent permitted by the General Corporation Law or any successor thereto.

Section 2. Action or Proceeding Other Than by or in the Right of the Corporation. Any person made or threatened to be made a party to an action or proceeding other than one by or in the right of the Corporation to procure a judgment in its favor, whether civil or criminal, including an action by or in the right of any other corporation of any type or kind, domestic or foreign, which any director or officer of the Corporation served in any capacity at the request of the Corporation, by reason of the fact that he, his testator or intestate, was a director or officer of the Corporation, or

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served such other corporation in any capacity, shall be indemnified by the Corporation against judgments, fines, amounts paid in settlement and reasonable expenses, including attorneys’ fees actually and necessarily incurred as a result of such action or proceeding, or any appeal therein, if such director or officer acted in good faith for a purpose which he reasonably believed to be in the best interests of the Corporation and, in criminal actions or proceedings, in which he had no reasonable cause to believe that his conduct was unlawful. The termination of any such civil or criminal action or proceeding by judgment, settlement, conviction or upon a plea of nolo contendere, or its equivalent, shall not in itself create a presumption that any such director or officer did not act in good faith for a purpose which he reasonably believed to be in the best interests of the Corporation or that he had reasonable cause to believe that his conduct was unlawful.

Section 3. Opinion of Counsel. In taking any action or making any determination pursuant to this Article, the Board of Directors and each director, officer or employee, whether or not interested in any such action or determination, may rely upon an opinion of counsel selected by the Board.

Section 4. Other Indemnification; Limitation. The Corporation’s obligations under this Article shall not be exclusive or in limitation of but shall be in addition to any other rights to which any such person may be entitled under any other provision of these Bylaws, or by contract, or as a matter of law, or otherwise. All of the provisions of this Article VI of the Bylaws shall be valid only to the extent permitted by the Certificate of Incorporation and the laws of the State of Delaware.

ARTICLE VII.

MISCELLANEOUS PROVISIONS

Section 1. Corporate Seal. The corporate seal shall have inscribed thereon the name of the Corporation and shall be in such form as the Board of Directors may from time to time determine.

Section 2. Fiscal Year. The fiscal year of the Corporation shall be the twelve (12) month period prescribed by the Board of Directors.

Section 3. Checks and Notes. All checks and demands for money and notes or other instrument evidencing indebtedness or obligations of the Corporation shall be signed by such officer or officers or other person or persons as shall be authorized from time to time by the Board of Directors.

ARTICLE VIII.

AMENDMENTS

Section 1. Power to Amend. Bylaws of the Corporation may be adopted, amended or repealed by the Board of Directors, subject to amendment or repeal by the stockholders entitled to vote thereon.

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CERTIFICATE OF SECRETARY

I, the undersigned, do hereby certify:

(1) That I am the duly elected and acting Secretary of ResMed Inc., a Delaware corporation; and

(2) That the foregoing Third Amended and Restated Bylaws constitute the bylaws of said corporation as duly approved and adopted by the Board of Directors on February 23, 2007.

IN WITNESS WHEREOF, I have hereunto subscribed my name this 23rd day of February, 2007.