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Robust Exponential Stability of Switched Linear Systems With Mixed Time Delays

El Houssaine Tissir

Abstract


This paper deals with the problem of robust exponential stability of switched linear systems with mixed time delays subject to unknown but norm-bounded time varying uncertainties. Based on Lyapunov functional method, we present new criteria for robust exponential stability. The criteria are delay dependent conditions and are given in terms of linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness of the results.

Keywords


switched systems, mixed time delays, robust exponential stability, LMIs, delay dependent conditions.

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