Stability of uncertain systems with time-varying delays

Xingjian Jing; Yuechao Wang

Stability of uncertain systems with time-varying delays

Xingjian Jing, Yuechao Wang

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

Abstract

This paper provides a new criterion for robust asymptotical stability of a class of uncertain systems with multiple time-varying delays and nonlinear uncertainties based on LaSalle Theorem. Firstly, we gave a contractive invariant set for time-delay systems, then we derived the condition in which the system would be attracted into this invariant set based on LaSalle Theorem. Time delays are assumed to be arbitrary time-varying and upper-bounded. Compared with some existing results, our results are less conservative and easy to check. Numerical examples illustrate our main results.

Original language	English
Title of host publication	Proceedings of the World Congress on Intelligent Control and Automation (WCICA)
Pages	943-945
Number of pages	3
Publication status	Published - 17 Sept 2004
Externally published	Yes
Event	WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings - Hangzhou, China Duration: 15 Jun 2004 → 19 Jun 2004

Conference

Conference	WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings
Country/Territory	China
City	Hangzhou
Period	15/06/04 → 19/06/04

Keywords

Stability
Time-varying delays
Uncertain systems

ASJC Scopus subject areas

Control and Systems Engineering
Software
Computer Science Applications

Cite this

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title = "Stability of uncertain systems with time-varying delays",

abstract = "This paper provides a new criterion for robust asymptotical stability of a class of uncertain systems with multiple time-varying delays and nonlinear uncertainties based on LaSalle Theorem. Firstly, we gave a contractive invariant set for time-delay systems, then we derived the condition in which the system would be attracted into this invariant set based on LaSalle Theorem. Time delays are assumed to be arbitrary time-varying and upper-bounded. Compared with some existing results, our results are less conservative and easy to check. Numerical examples illustrate our main results.",

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AB - This paper provides a new criterion for robust asymptotical stability of a class of uncertain systems with multiple time-varying delays and nonlinear uncertainties based on LaSalle Theorem. Firstly, we gave a contractive invariant set for time-delay systems, then we derived the condition in which the system would be attracted into this invariant set based on LaSalle Theorem. Time delays are assumed to be arbitrary time-varying and upper-bounded. Compared with some existing results, our results are less conservative and easy to check. Numerical examples illustrate our main results.

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KW - Time-varying delays

KW - Uncertain systems

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M3 - Conference article published in proceeding or book

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BT - Proceedings of the World Congress on Intelligent Control and Automation (WCICA)

T2 - WCICA 2004 - Fifth World Congress on Intelligent Control and Automation, Conference Proceedings

Y2 - 15 June 2004 through 19 June 2004

ER -

Stability of uncertain systems with time-varying delays

Abstract

Conference

Keywords

ASJC Scopus subject areas

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Cite this