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Robust exponential stability and stabilizability of linear parameter dependent systems with delays. (English) Zbl 1207.93087
Summary: The robust exponential stability and stabilizability problems are addressed in this paper for a class of linear parameter dependent systems with interval time-varying and constant delays. In this paper, restrictions on the derivative of the time-varying delay is not required which allows the time-delay to be a fast time-varying function. Based on the Lyapunov-Krasovskii theory, we derive delay-dependent exponential stability and stabilizability conditions in terms of Linear Matrix Inequalities (LMIs) which can be solved by various available algorithms. Numerical examples are given to illustrate the effectiveness of our theoretical results.

MSC:
93D21 Adaptive or robust stabilization
93D20 Asymptotic stability in control theory
93C15 Control/observation systems governed by ordinary differential equations
93C05 Linear systems in control theory
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