Estimation of stability region for discrete-time linear positive switched systems with multiple equilibrium points

This paper investigates the regional stability for discrete-time linear positive switched systems with multiple equilibrium points (PSS-MEP). Every subsystem possesses a unique stable equilibrium point. Firstly, by establishing a special Lyapunov function, a sufficient condition for region stability of considered systems is presented. Although, estimating the stability region for n-dimensional PSS-MEP with l >= 3 subsystems is still a challenging work, we study the one and two dimensional PSS-MEP, and the corresponding accurate stability regions are given in our main job. Finally, a simulation example is presented to demonstrate the correctness of the theoretical results.