Abstract
This paper deals with exponential stabilization issue for a family of discrete-time networked switched positive systems with mixed time-varying delays. The mixed time-varying delays lie in not only state but the switching information, which increases the difficulty of designing controller. An event-triggered mechanism is adopted in the paper, which can reduce communication resources and save the cost. Different from the triggering conditions expressed as quadratic forms in previous results, a mode-dependent linear form triggering condition is given, which is more efficient to resolve the positive stabilization problem. With the aid of a copositive type Lyapunov-Krasovskii functional and the average dwell time approach, a desired delay controller by means of a linear programming method is designed to guarantee the positivity and exponential stability of the event-triggered control closed loop system. Finally, the validity of our main results is demonstrated by a simulation example.
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