Design of State-Dependent Switching With Dwell Time Constraint for Interval Positive Switched Systems

Abstract

This paper focuses on the design of state-dependent switching law with the dwell time restriction for interval positive switching systems. First, we present the design method of the hybrid-type state- and time-driven switching law, which inherits the two aspect advantages of the state- and time-dependent ones. Second, by multiple diagonal quadratic Lyapunov functions, we conduct the double designs of controllers and the switching signal, and sufficient conditions for stabilization of systems are proposed by the linear matrix inequalities form. Finally, an example demonstrates the validity of the presented results.

Keywords

• Positive switched systems
• interval systems
• dwell time
• state-dependent switching