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

作者：Chiou Juing Shian^*; Cheng Chun Ming

来源：International Journal of Nonlinear Sciences and Numerical Simulation, 2009, 10(7): 851-860.

DOI：10.1515/ijnsns.2009.10.7.851

• Switched system
• Large-scale system
• Discrete-time systems
• Lyapunov theorem
• Stabilization
• Switching rule

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.

• 出版日期2009-7