Numerical Simulation and Stabilization Analysis of Switched Large-scale Discrete-time Systems

摘要

In this paper, a criterion of stabilization for switched large-scale discrete-time systems is deduced by employing a state-driven switching method and the Lyapunov stability theorem. The main analysis is based on the fact that the existence of a linear convex combination implies quadratic stabilizability of the switched large-scale discrete-time system model studied. A switching rule is proposed to guarantee the stability. In particular, such a switching rule can be applied to cases when all individual subsystems are unstable. Finally, an example is demonstrated to illustrate the proposed schemes.