Delay-dependent robust stability of time delay systems with Polytopic-Type uncertainty
This paper presents a new delay dependent robust stability conditions for linear system with a time-varying delay and polytopic-type uncertainties based on Finsler's lemma and Lyapunov–Krasovskii functional. These conditions, expressed as a set of linear matrix inequalities, require no matrix variable to be fixed for the entire uncertainty polytope, which produces a less conservative stability test result. Numerical examples demonstrate the validity and effectiveness of the proposed criteria.
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