Controller Synthesis of Switched Positive Systems with Bounded Time-Varying Delays

This paper addresses the controller synthesis problem of discrete-time switched positive systems with bounded time-varying delays. Based on the switched copositive Lyapunov function approach, some necessary and sufficient conditions for the existence of state-feedback controller are presented as a set of linear programming and linear matrix inequality problems, hence easy to be verified. Another advantage is that the state-feedback law is independent on time-varying delays and initial conditions. A numerical example is provided to illustrate the effectiveness and feasibility of the developed controller.

• Xinhui Wang
• Xiuyong Ding

• Switched copositive Lyapunov functions
• positive linear systems
• switched systems
• time-varying delays
• stabilization.

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