Abstract
AbstractThis 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.
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