广义互联大系统的渐近稳定与分散镇定

Asymptotical Stability and Decentralized Stabilization of the Large-scale Generalized Interconnected Systems

利用Lyapunov函数方法、系统分解法以及矩阵不等式等方法研究一类具有脉冲行为的广义互联大系统的渐近稳定性及分散镇定问题,在子系统正则且零解渐近稳定的条件下,给出广义线性互联大系统的渐近稳定判定的一个充分条件,并设计适当的反馈律,以实现广义互联大系统的镇定。通过仿真实例说明主要结果。

This paper investigatesthe asymptotical stability and decentralized stabilization of large-scale generalized interconnected systems possessing impulsive behaviors by using Lyapunov function method, system decomposition method, rectangular inequality and some other methods. Impulsive behaviors give a sufficient condition for determining the asymptotical stability of large - scale linear generalized interconnected systems when the subsystem becomes regular and zero solution becomes stable, and design a proper feedback law in order to realize the stabilization of large - scale generalized interconnected systems. At last, the simulation examples show the main results.