Exponential stabilization of switched positive systems with time-varying delays and actuator saturation

In this article, the problem of exponential stabilization (ES) for positive switched linear systems (PSLS) with time-varying delays (TVD) and actuator saturation is studied. Within the framework of the multiple co-positive Lyapunov-Krasovskii functional (MCLKF) method, a time-dependent switching law is devised, grounded on the principle of dwell time switching, and a sufficient condition for the ES of the PSLS is presented, it should be pointed out that this result is applicable to case where the subsystems are unstable. Finally, the stabilization scheme is extended to PSLS with actuator saturation by using the convex hull technique. An numerical example is provided to illustrate the effectiveness and viability of the proposed methodology.