Robust stability for 2D systems via a Lyapunov equation method

M. Wang; D. Boley; E. B. Lee

doi:10.23919/acc.1992.4792623

Robust stability for 2D systems via a Lyapunov equation method

M. Wang
, D. Boley
, E. B. Lee

Computer Science and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

It is suggested that a Lyapunov method can be used to analyze the robustness of a stable 2D system. Some upper bounds are given to estimate the robustness of a stable system. Via matrix measure, the admissible parameter perturbation for structured uncertainty can be computed in real parameter spaces. The solvability of 2D Lyapunov equations is discussed. A 2D BIBO stable system might not admit a 2D Lyapunov equation, so a parameter Lyapunov equation method is suggested for more general situations.

Original language	English (US)
Title of host publication	Proceedings of the 1992 American Control Conference, ACC 1992
Publisher	Publ by American Automatic Control Council
Pages	2660-2661
Number of pages	2
ISBN (Print)	0780302109, 9780780302105
DOIs	https://doi.org/10.23919/acc.1992.4792623
State	Published - 1992
Event	11th American Control Conference, ACC 1992 - Chicago, IL, USA, United States Duration: Jun 24 1992 → Jun 26 1992

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	11th American Control Conference, ACC 1992
Country/Territory	United States
City	Chicago, IL, USA
Period	6/24/92 → 6/26/92

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10.23919/acc.1992.4792623

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Wang, M, Boley, D & Lee, EB 1992, Robust stability for 2D systems via a Lyapunov equation method. in Proceedings of the 1992 American Control Conference, ACC 1992. Proceedings of the American Control Conference, Publ by American Automatic Control Council, pp. 2660-2661, 11th American Control Conference, ACC 1992, Chicago, IL, USA, United States, 6/24/92. https://doi.org/10.23919/acc.1992.4792623

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abstract = "It is suggested that a Lyapunov method can be used to analyze the robustness of a stable 2D system. Some upper bounds are given to estimate the robustness of a stable system. Via matrix measure, the admissible parameter perturbation for structured uncertainty can be computed in real parameter spaces. The solvability of 2D Lyapunov equations is discussed. A 2D BIBO stable system might not admit a 2D Lyapunov equation, so a parameter Lyapunov equation method is suggested for more general situations.",

author = "M. Wang and D. Boley and Lee, \{E. B.\}",

year = "1992",

doi = "10.23919/acc.1992.4792623",

language = "English (US)",

isbn = "0780302109",

series = "Proceedings of the American Control Conference",

publisher = "Publ by American Automatic Control Council",

pages = "2660--2661",

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note = "11th American Control Conference, ACC 1992 ; Conference date: 24-06-1992 Through 26-06-1992",

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AU - Wang, M.

AU - Boley, D.

AU - Lee, E. B.

PY - 1992

Y1 - 1992

N2 - It is suggested that a Lyapunov method can be used to analyze the robustness of a stable 2D system. Some upper bounds are given to estimate the robustness of a stable system. Via matrix measure, the admissible parameter perturbation for structured uncertainty can be computed in real parameter spaces. The solvability of 2D Lyapunov equations is discussed. A 2D BIBO stable system might not admit a 2D Lyapunov equation, so a parameter Lyapunov equation method is suggested for more general situations.

AB - It is suggested that a Lyapunov method can be used to analyze the robustness of a stable 2D system. Some upper bounds are given to estimate the robustness of a stable system. Via matrix measure, the admissible parameter perturbation for structured uncertainty can be computed in real parameter spaces. The solvability of 2D Lyapunov equations is discussed. A 2D BIBO stable system might not admit a 2D Lyapunov equation, so a parameter Lyapunov equation method is suggested for more general situations.

UR - https://www.scopus.com/pages/publications/0027088268

UR - https://www.scopus.com/pages/publications/0027088268#tab=citedBy

U2 - 10.23919/acc.1992.4792623

DO - 10.23919/acc.1992.4792623

M3 - Conference contribution

AN - SCOPUS:0027088268

SN - 0780302109

SN - 9780780302105

T3 - Proceedings of the American Control Conference

SP - 2660

EP - 2661

BT - Proceedings of the 1992 American Control Conference, ACC 1992

PB - Publ by American Automatic Control Council

T2 - 11th American Control Conference, ACC 1992

Y2 - 24 June 1992 through 26 June 1992

ER -

Robust stability for 2D systems via a Lyapunov equation method

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