Stability of positive impulse switched linear systems

In this paper, the stability of positive impulse switched linear systems (PISLSs) with disturbance is studied. Firstly, by introducing a class of weakly switched linear co-positive Lyapunov function, a time-dependent switching rule is designed, and the asymptotic stability criterion of a class of positive impulse switched linear systems is given. Secondly, in order to consider the impulse effect, by controlling the impulse within a reasonable range, the linear co-positive Lyapunov function is established and sufficient conditions for the stability of the system are obtained. Finally, a numerical example demonstrates the superiority of the computational results.