摘要：AbstractThis work study the stability problem for discrete-time switched systems under arbitrary switching. The Lyapunov approach is employed to this end. The structure of the Lyapunov function is based on the existence of an augmented state vector that contains higher order shifted states. This structure will bring the switched dynamic from the original system to the Lyapunov function, providing a switched Lyapunov function. In order to check stability, LMI (Linear Matrix Inequalities) conditions are derived to solve the problem. The Lyapunov function proposed in this work has proved stability using considerably less scalar decision variables than other methods from the literature. A numerical example has been explored to discuss the potential of the method.
