不确定大系统的鲁棒稳定化

ROBUST STABILIZATION OF UNCERTAIN LARGE-SCALE SYSTEMS

本文考虑由几个具有不稳定性的子系统构成的大系统的鲁棒稳定化问题。应用一个稳定化的局部反馈到每一个子系统，利用标量李雅普诺夫函数，结合代数黎卡提方程，每一个子系统不确定参数的界由Ｍ－矩阵给出．用本文发展的技术巧及比哈里不等式，我们还讨论了不确定大系统的有界输入有界输出稳定性问题。

The problem of robust stabilization for large-scale systems made of several subsystems with uncertainty is considered.Applying a stabilizing local state feed back to each subsystem,making use of the scalar Lyapunoy function and combining with the algebraic Riccati equaion,the bound of uncertain parameters in each subsystem is given by means of M-matrix.By the approach developed in this paper and Bihari-type in equality,we also discuss the bounded-input bounded-output(BIBO)stability of uncer tain large-scale systems.