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Delay-dependent robust control for a class of nonlinear state-delayed systems

The robust control was dealt with for a class of nonlinear systems with state-delays. The parameter uncertainties are assumed to be time-varying norm-bounded. It is seen that the unknown nonlinear functions depend on current and past states, respectively. By constructing a novel Lyapunov-Krasoyskii function, a delay-dependent sufficient condition was derived in terms of linear matrix inequality (LMI) such that the resultant closed-loop system is robust asymptotically stable.