Exponential stability of totally positive switched linear systems with both stable and unstable subsystems

摘要

This article discusses the exponential stability of totally positive switched linear systems (TPSLSs) for continuous-time and discrete-time cases. By employing the multiple piecewise-continuous linear copositive Lyapunov MPLCLF) and mode-dependent average dwell time (MDADT) methods, TPSLSs containing both stable and unstable subsystems are firstly considered and two kinds of switching strategies are proposed, which reduce the conservativeness greatly and provide a more relaxed constraints on parameters compared with the previous results. Finally, two examples are given to illustrate the effectiveness of our results.

关键词