Sampled-data based asynchronous control for persistent dwell-time switched systems: A delay-dependent Lyapunov functional approach

This paper mainly investigates the sampled-data control issue for switched systems with persistent dwell-time under input time delay. Unlike the common controller design, the existence of the delay makes it possible for the subsystem switching to occur during the sampling intervals, which leads to asynchronous problem. By means of the novel functional consisting of piecewise-continuous delay-dependent Lyapunov functional and looped-functionals, some solvability criteria are given under sufficient consideration of the switching frequency. Furthermore, the stability criterion is formulated by the sum of squares program and the global optimal solution is further provided, which exponentially stabilizes the system. Finally, a numerical example as well as an application design of the tunnel diode circuit are studied, both of which demonstrate the proposed method's validity and feasibility.