On stability of linear systems with time-varying delays subject to impulsive perturbations

Wu-Hua Chen; Wei Xing Zheng

On stability of linear systems with time-varying delays subject to impulsive perturbations

Wu-Hua Chen
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper › peer-review

1 Citation (Scopus)

Abstract

In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems with time-varying delays and impulsive effects. We also use some illustrative numerical results to demonstrate the workability of our theoretical findings.

Original language	English
Title of host publication	Proceedings of 2009 7th Asian Control Conference (ASCC 2009): 27-29 August 2009, Hong Kong, China
Publisher	IEEE
Pages	529-534
Number of pages	6
ISBN (Print)	9788995605691
Publication status	Published - 2009
Event	Asian Control Conference - Duration: 15 May 2011 → …

Conference

Conference	Asian Control Conference
Period	15/05/11 → …

Cite this

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title = "On stability of linear systems with time-varying delays subject to impulsive perturbations",

abstract = "In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems with time-varying delays and impulsive effects. We also use some illustrative numerical results to demonstrate the workability of our theoretical findings.",

author = "Wu-Hua Chen and Zheng, \{Wei Xing\}",

year = "2009",

language = "English",

isbn = "9788995605691",

pages = "529--534",

booktitle = "Proceedings of 2009 7th Asian Control Conference (ASCC 2009): 27-29 August 2009, Hong Kong, China",

publisher = "IEEE",

note = "Asian Control Conference ; Conference date: 15-05-2011",

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T1 - On stability of linear systems with time-varying delays subject to impulsive perturbations

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

PY - 2009

Y1 - 2009

N2 - In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems with time-varying delays and impulsive effects. We also use some illustrative numerical results to demonstrate the workability of our theoretical findings.

AB - In this paper we consider the problem of delay-dependent exponential stability of linear continuous-time systems with time-varying delays in the presence of impulsive perturbations. We combine the Lyapunov function and Razumikhin-type techniques together to derive new delay-dependent sufficient conditions in the form of linear matrix inequalities (LMIs) for exponential stability of linear systems with time-varying delays and impulsive effects. We also use some illustrative numerical results to demonstrate the workability of our theoretical findings.

UR - http://handle.uws.edu.au:8081/1959.7/562492

UR - http://ieeexplore.ieee.org/xpl/mostRecentIssue.jsp?punumber=5256114

M3 - Conference Paper

SN - 9788995605691

SP - 529

EP - 534

BT - Proceedings of 2009 7th Asian Control Conference (ASCC 2009): 27-29 August 2009, Hong Kong, China

PB - IEEE

T2 - Asian Control Conference

Y2 - 15 May 2011

ER -

On stability of linear systems with time-varying delays subject to impulsive perturbations

Abstract

Conference

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