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Stability analysis of time-delay systems A Lyapunov approach

Abstract : This chapter is devoted to the stability problem of time-delay systems using time-domain approach. Some basic concepts of time-delay systems are introduced. Then some simple Lyapunov-Krasovskii funtionals complete Quadratic Lyapunov-Krasovskii functional and discretization scheme are introduced with connections and extent of conservatism compared. The issue of time-varying delays are also discussed. The concept of Razumikhin Theorem is introduced. An alternative model of coupled difference-differential equations and its stability problem are also introduced. © Springer-Verlag London Limited 2006.
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Submitted on : Monday, September 23, 2019 - 10:18:45 AM
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Keqin Gu, Silviu-Iulian Niculescu. Stability analysis of time-delay systems A Lyapunov approach. A Loria; francoise-lamnabhi-lagarrigue; elena panteley. Advances topics in control systems theory : Lectures notes from FAP 2005, 328, pp.139-170, 2006, ⟨10.1007/11583592_4⟩. ⟨hal-02294074⟩

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