Stabilization of switched positive system with impulse and marginally stable subsystems: A mode-dependent dwell time method

摘要

In this article, the problem of stabilization for the switched positive linear system (SPLS) with impulse and marginally stable subsystems is studied, in which both the continuous time case and the discrete time case are taken into account. By the usage of a piecewise weak linear copositive Lyapunov function (LCLF) and the mode-dependent dwell time (MDT), time-dependent switching control laws are designed to guarantee the asymptotic stability of the system. Furthermore, based on the comparison principal for positive systems, the main results are generalized to the time-variant SPLS. Two examples are worked out to indicate that our results have advantages over some known results in the literature.