An Extension of Estimation of Domain of Attraction for Fractional Order Linear System Subject to Saturation Control

This paper employs the Lyapunov direct method for the stability analysis of fractional order linear systems subject to input saturation. A new stability condition based on saturation function is adopted for estimating the domain of attraction via ellipsoid approach. To further improve this estimation, the auxiliary feedback is also supported by the concept of stability region. The advantages of the proposed method are twofold: (1) it is straightforward to handle the problem both in analysis and design because of using Lyapunov method, (2) the estimation leads to less conservative results. A numerical example illustrates the feasibility of the proposed method.

« Ce qui s'est passé au Parlement sur le subject des thèses touchant l'infaillibilité du pape, et de son pouvoir au-dessus des conciles, où sont aussi des harangues de messrs Talon, advocat général, et de Harlay,... tant en ladicte cour qu'en Sorbonne, depuis le XIXe janvier 1663 jusques au 30e may ensuivant, comme aussi l'enregistrement de l'arrest de la cour par toutes les Universitez ».

Contient : « Receuil de ce qui c'est passé au Parlement touchant les thèzes de Mr Gabriel de Villeneufve, bachelier en théologie, et frère Laurens Desplantes, Bernardin, en l'année 1663 »

An Address of members of the House of Representatives of the Congress of the United States, to their constituents, on the subject of the war with Great Britain. --

Signed by George Sullivan and thirty-three other Federalist members.

Letter from the Secretary of State to Mr. Monroe, on the subject of the attack on the Chesapeake : the correspondence of Mr. Monroe with the British Government ; and also Mr. Madison's correspondence with Mr. Rose on the same subject. --

March 23, 1808. Printed by order of the House of Representatives.

Letter from the Secretary of War, to the Chairman of the Committee on Militay Affairs, upon the subject of the defects existing in the present establishment. --

13th Cong., 3d sess. House. Doc. no. 12.

Massachusetts militia claims : letter from the Secretary of War, transmitting, in pursuance of a resolution of the House of Representatives of the 15th Dec., 1826, a report upon the subject of the claims of the State of Masachusetts for certain services rendered during the late war.--

20th Congress, 2nd session. House Doc. no.3.

Copies of two dispatches upon the subject of the Welland Canal, 1827-1828

The material is a printed record of two dispatches sent by Sir Peregrine Maitland, Lieutenant Governor of Upper Canada to secretary of state for the colonies, the first in 1827 to Earl Bathurst, the second in 1828 to Right Hon. W. Huskisson. The dispatches concern funding for the canal as well as an introduction of William Hamilton Merritt as managing agent of the Welland Canal Company. It was the intention of the Welland Canal Company to send Mr. Merritt to England to gain further assistance from the government and private investors.

Letter from the Secretary of State to Mr. Monroe, on the subject of the attack on the Chesapeake : the correspondence of Mr. Monroe with the British Government; and also Mr. Madison's correspondence with Mr. Rose on the same subject

March 23, 1808. Printed by order of the House of Representatives.

Letter from the Secretary of War, to the Chairman of the Committee on Military Affairs, upon the subject of the defects existing in the present establishment

13th Cong., 3d sess. House. Doc. no. 12. October 27, 1814. Laid before the House by the Chairman of the Committee and ordered to be printed.

Letter from the Chairman of the Committee of Ways and Means to the Secretary of the Treasurer on the subject of a system of revenue to revive and maintain unimpaired the public credit, with the answer of the Secretary thereto. (1814)

October 18, 1814. Read, and committed to the Committee of the whole House on the report of the Committee of Ways and Means on so much of the President's message as relates to the finances of the United States.

List (4 pages, handwritten) of titles on the Sarnia Branch subject to mortgages

List (4 pages, handwritten) of titles on the Sarnia Branch subject to mortgages, n.d.