LAUSR

This note considers the problem of asymptotic stability for switched positive linear time-varying (LTV) systems. Some improved stability conditions are given for the positive LTV systems and switched positive LTV systems by using time-varying copositive Lyapunov functions (CLFs) and switched time-varying CLF, respectively. Comparing with the existing results, the conditions obtained allow the time derivative of Lyapunov functions of subsystems (or systems) to be indefinite, and all subsystems to be unstable. Furthermore, using function-dependent dwell time methods, two improved stability conditions are also proposed for switched positive LTV systems. The conditions obtained allow the average dwell time of systems to have greater range than that of the existing results. Finally, a numerical example is given to illustrate the theoretical results.