Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

C. Lin; Q. G. Wang; T. H. Lee

doi:10.1049/ip-cta:20050176

Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

C. Lin, Q. G. Wang, T. H. Lee

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

The robust D-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.

Original language	English
Pages (from-to)	665-670
Number of pages	6
Journal	IEE Proceedings: Control Theory and Applications
Volume	153
Issue number	6
DOIs	https://doi.org/10.1049/ip-cta:20050176
Publication status	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Instrumentation
Electrical and Electronic Engineering

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10.1049/ip-cta:20050176

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title = "Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions",

abstract = "The robust D-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.",

author = "C. Lin and Wang, {Q. G.} and Lee, {T. H.}",

year = "2006",

doi = "10.1049/ip-cta:20050176",

language = "English",

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journal = "IEE Proceedings: Control Theory and Applications",

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publisher = "Institute of Electrical Engineers",

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T1 - Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

AU - Lin, C.

AU - Wang, Q. G.

AU - Lee, T. H.

PY - 2006

Y1 - 2006

N2 - The robust D-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.

AB - The robust D-stability of linear systems with polytopic uncertainty is studied. It provides a new stability test that is less conservative than the existing ones based on linearly parameter-dependent Lyapunov functions. The present criterion is in terms of linear matrix inequalities formulated by the vertices of the matrix polytope. Numerical examples are given to show the less conservativeness of the result.

UR - http://www.scopus.com/inward/record.url?scp=33749848755&partnerID=8YFLogxK

U2 - 10.1049/ip-cta:20050176

DO - 10.1049/ip-cta:20050176

M3 - Article

AN - SCOPUS:33749848755

SN - 1350-2379

VL - 153

SP - 665

EP - 670

JO - IEE Proceedings: Control Theory and Applications

JF - IEE Proceedings: Control Theory and Applications

IS - 6

ER -

Less conservative D-stability test for polytopic systems using linearly parameter-dependent Lyapunov functions

Abstract

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