A New Switching Strategy of Stabilization for Positive Switched Linear Systems

This paper studies the asymptotic stability of positive switched linear systems with unstable subsystems. Firstly, based on the improved min-switching strategy and the multiple linear co-positive Lyapunov function method, the global uniform asymptotic stability criterion for the continuous positive switched linear system is given. Secondly, we extend the above generalization of the results to discrete positive switched linear systems, the sufficient conditions for the global uniform asymptotic stability are obtained. Finally, a numerical example is given to support our new results.