Exponential Stabilization for a Class of Nonlinear Uncertain Switched Systems with Time-varying Delay.

In this paper, the problem of exponential stabilization for a class of switched nonlinear uncertain systems with time-varying delay is investigated based on a type of Lyapunov- Krasovskii functional, the free-weighting matrix technique and the average dwell time approach. Some exponential stability criteria are established in terms of linear matrix inequalities (LMIs) for switched nonlinear uncertain systems with delay. In addition, the feedback controller design algorithm for the system is given through the matrix deformation technique and Schur complement. Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results. [ABSTRACT FROM AUTHOR]