Robust exponential stability of uncertain switching time-delay systems with nonlinear perturbations

In this paper, a class of uncertain switching time-delay systems with nonlinear perturbations is considered. The system parameter uncertainties are time-varying and unknown with norm-bounded. The delay in the system states is also time-varying. By using an improved Lyapunov-Krasovskii functional, a state dependent switching rule for robust exponential stability is designed in terms of solution of Lyapunov-type equations and growth bound of perturbations. The approach allows for computation of the bounds that characterize the exponential stability rate of the solution. Numerical examples are given to illustrate the results.
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Robust exponential stability of uncertain switching time-delay systems with nonlinear perturbations