离散广义大系统的渐近稳定与镇定

The Asymptotic Stability and Stabilization for Discrete Singular Large Scale Systems

广义大系统的渐近稳定与镇定问题是广义大系统理论的基本问题之一 ,在许多领域均有广泛的应用。广义大系统的研究与广义系统相比困难得多。利用广义Lyapunov函数方法研究了离散广义大系统的渐近稳定与镇定问题 ,给出了渐近稳定的判定定理 ,设计了适当的反馈律 ,以实现离散广义大系统的镇定。该方法简单、直观 ,给出的例子说明了该定理的可行性。

The asymptotic stability and stabilization problem is one of the fundamental problems in singular large scale system theory, and is used in many fields. The study of discrete singular large scale systems is more difficult than that of discrete singular systems. In this paper, the Lyapunov's method is employed to study the asymptotic stability and stabilization problem on discrete singular large scale systems, the theorem of asymptotic stability is obtained. The controller is designed for the stabilization of discrete singular large scale systems. The utilized method is simple, intuitional and easily understood. An example shows that the theorem is feasible.