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Switched discrete-time systems with time-varying delays: A generalized approach

✍ Scribed by Magdi S. Mahmoud

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 823 KB
Volume: 57
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2008.10.066

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✦ Synopsis

In this paper, we investigate the delay-dependent performance analysis and control synthesis of a class of linear discrete-time hybrid systems with time-varying delays. We employ hybrid Lyapunov-Krasovskii functionals to establish the desired results under arbitrary switching. A generalized H 2 approach is adopted and new parameterized linear matrix inequalities (LMIs) characterization are developed to guarantee the delaydependent asymptotic stability. Design of generalized H 2 state feedback and dynamic output-feedback controllers are subsequently constructed. A numerical example is solved in detail to illustrate the theoretical developments.

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