摘要：In this paper, we consider the problem of expo-nential H ∞ control for a class of nonlinear switched systemssubject to exogenous disturbance and mixed time-varyingdelays. Specifically, the mixed time-varying delays with upperbound are considered to describe the delay-dependent multi-Lyapunov-Krasovskii functional, and the nonlinear perturba-tion satisfies the Lipschitz condition. Then, based on Lyapunovstability theory and average dwell time method, new delay-dependent sufficient results are obtained such that switchedsystems with mixed time-varying delays are exponential sta-bilization and satisfies a prescribed H ∞ control performanceindex by resorting to Jensen’s inequality. Moreover, the problemof state feedback controllers gains are also derived by solvingsome linear matrix inequalities. Finally, a numerical exampleand a practical example of river pollution control are used toshow the effectiveness of the proposed method.
