Finite-time stability for positive switched linear systems with multi-equilibrium

In this paper, the finite-time stability analysis is discussed for positive switched linear systems with multiple equilibrium points. Every subsystem has unique stable equilibrium point in the studied systems, and all the equilibria are different from each other. The concept of finite-time stability for multiple equilibrium positive switched systems is first presented. By establishing appropriate Lyapunov function, a sufficient condition for finite-time stability of considered systems is proposed. Finally, a numerical example is given to illustrate the validity of our theoretical results.