Delay-dependent stability and Hâˆž control of uncertain discrete-time Markovian jump systems with mode-dependent time delays

Wu-Hua Chen; Zhi-Hong Guan; Pei Yu

doi:10.1016/j.sysconle.2004.02.012

Delay-dependent stability and Hâˆž control of uncertain discrete-time Markovian jump systems with mode-dependent time delays

Wu-Hua Chen, Zhi-Hong Guan, Pei Yu

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

121 Citations (Scopus)

Abstract

This paper considers the problems of stability, stabilization and H âˆž control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerical examples are presented to illustrate the usefulness of the theoretical results.

Original language	English
Pages (from-to)	361-376
Number of pages	16
Journal	Systems and Control Letters
Volume	52
Issue number	5
DOIs	https://doi.org/10.1016/j.sysconle.2004.02.012
Publication status	Published - 2004

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10.1016/j.sysconle.2004.02.012

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title = "Delay-dependent stability and H{\^a}ˆ{\v z} control of uncertain discrete-time Markovian jump systems with mode-dependent time delays",

abstract = "This paper considers the problems of stability, stabilization and H {\^a}ˆ{\v z} control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerical examples are presented to illustrate the usefulness of the theoretical results.",

author = "Wu-Hua Chen and Zhi-Hong Guan and Pei Yu",

year = "2004",

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language = "English",

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T1 - Delay-dependent stability and Hâˆž control of uncertain discrete-time Markovian jump systems with mode-dependent time delays

AU - Chen, Wu-Hua

AU - Guan, Zhi-Hong

AU - Yu, Pei

PY - 2004

Y1 - 2004

N2 - This paper considers the problems of stability, stabilization and H âˆž control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerical examples are presented to illustrate the usefulness of the theoretical results.

AB - This paper considers the problems of stability, stabilization and H âˆž control via memoryless state feedback for uncertain discrete-time Markovian jump linear systems with mode-dependent time delays. Based on linear matrix inequalities, delay-dependent solutions are obtained by using a descriptor model transformation of the system and by applying a new bounding technique for cross terms. Numerical examples are presented to illustrate the usefulness of the theoretical results.

UR - http://handle.uws.edu.au:8081/1959.7/541211

U2 - 10.1016/j.sysconle.2004.02.012

DO - 10.1016/j.sysconle.2004.02.012

M3 - Article

SN - 0167-6911

VL - 52

SP - 361

EP - 376

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 5

ER -

Delay-dependent stability and Hâˆž control of uncertain discrete-time Markovian jump systems with mode-dependent time delays

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