Asynchronous control of discrete-time switched positive systems with dwell time constraint

This study focuses on stabilization and l(1)-gain analysis problems for discrete-time switched positive systems in the presence of asynchronous switching. The time-varying asynchronous state feedback controllers for subsystems are devised, where "asynchronous" indicates that the switching of the controllers has a lag to the switching of positive subsystems. Based on the dwell time-dependent switching signal, we adopt the time-varying multiple linear copositive Lyapunov function to attain less conservative synthesis conditions that ensure the positivity, stability and l(1)-gain of the closed-loop system. All the design conditions are cast in form of linear vector inequalities and can be solved easily in terms of linear programming tools. Finally, the superiority of the theoretical results is revealed via a simulation example.