An LMI approach to stability of systems with severe time-delay

Xingjian Jing; Da Long Tan; Yue Chao Wang

doi:10.1109/TAC.2004.831109

An LMI approach to stability of systems with severe time-delay

Xingjian Jing, Da Long Tan, Yue Chao Wang

Research output: Journal article publication › Journal article › Academic research › peer-review

194 Citations (Scopus)

Abstract

This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple linear matrix inequalities.

Original language	English
Pages (from-to)	1192-1195
Number of pages	4
Journal	IEEE Transactions on Automatic Control
Volume	49
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2004.831109
Publication status	Published - 1 Jul 2004
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

More information

10.1109/TAC.2004.831109

Cite this

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abstract = "This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple linear matrix inequalities.",

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AU - Wang, Yue Chao

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N2 - This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple linear matrix inequalities.

AB - This note describes the stability problems of uncertain systems with arbitrarily time-varying and severe time-delay. Using new Lyapunov-Krasovskii functionals, less conservative stability conditions are obtained for such systems. The results are illustrated using the numerical examples based on simple linear matrix inequalities.

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DO - 10.1109/TAC.2004.831109

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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