Sampled-data control of switched linear systems

In this paper, we investigate the problem of sampled-data control for a class of switched linear systems with dwell time. The class of switched system is firstly modeled as a time-delay system, where the control input has a piece-continuous delay. Sufficient linear matrix inequalities conditions for sampled-data state-feedback exponential stability of such systems are derived by a piecewise Lyapunov function and free-weighting matrix approach. A numerical example is finally given to illustrate the effectiveness of the proposed method.