Exponential stability of switched linear systems with time-varying delay

Exponential stability of switched linear systems with time-varying delay

We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for co...

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Veröffentlicht in:Electronic journal of differential equations 2007-11, Vol.2007 (159), p.1-10
Hauptverfasser: Satiracoo Pairote, Vu N. Phat
Format: Artikel
Sprache:eng
Schlagworte:
exponential stability
Lyapunov equation
Switched system
time delay
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Zusammenfassung:We use a Lyapunov-Krasovskii functional approach to establish the exponential stability of linear systems with time-varying delay. Our delay-dependent condition allows to compute simultaneously the two bounds that characterize the exponential stability rate of the solution. A simple procedure for constructing switching rule is also presented.
ISSN:1072-6691