This paper focuses on the problem of robustH? control for a class of switched nonlinear systems with multiple time delays which are\nallowed to appear not only in state but also in input.We will design a controller and a switchinglawunder which the system is ââ?¬Å?robust\nstableââ?¬Â and has performance L2-gain Y. Besides,multiple Lyapunov-Razumikhin functions which are relatively less conservative are\nintroduced to investigate the stability of the candidate switched system. In detail, firstly, for uncertain nonlinear switched system\nwith time-varying delays, sufficient condition is given by inequalities which are equivalent to LMIs, so it is easy to be solved; then,\nas a special case, nonlinear switched system with constant time delay is also considered. Finally, by providing numerical examples,\nthe feasibility of the proposed approach is demonstrated.
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