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On input-to-state stability of systems with time-delay: A matrix inequalities approach

✍ Scribed by Emilia Fridman; Michel Dambrine; Nima Yeganefar

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
922 KB
Volume
44
Category
Article
ISSN
0005-1098

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✦ Synopsis

Nonlinear matrix inequalities (NLMIs) approach, which is known to be efficient for stability and L 2gain analysis, is extended to input-to-state stability (ISS). We first obtain sufficient conditions for ISS of systems with time-varying delays via Lyapunov-Krasovskii method. NLMIs are derived then for a class of systems with delayed state-feedback by using the S-procedure. If NLMIs are feasible for all x, then the results are global. When NLMIs are feasible in a compact set containing the origin, bounds on the initial state and on the disturbance are given, which lead to bounded solutions. The numerical examples of sampled-data quantized stabilization illustrate the efficiency of the method.

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