摘要
本文首先给出了线性时变离散系统稳定性的一个充分条件.然后研究当孤立子系统满足上述条件时的线性及非线性时变离散大系统的稳定性.利用向量李雅普诺夫函数法结合时变离散系统的比较原理,得到了时变离散大系统在稳定性中的集结模型.直接由集结系统的稳定性得到大系统稳定性的条件.
A sufficient condition for stability of time-varying discrete systems is proposed in this paper. Then stability of linear and nonlinear time-varying discrete large scale systems is studied respectively when their isolated subsystems satisfy the above condition. The aggregated model of time-varying discrete large scale systems in stability is obtained by the method of vector Lyapunov function and comparison principle of time-varying discrete systems. The conditions for stability of the large scale systems are directly obtained by the aggregated systems.
出处
《应用数学》
CSCD
北大核心
1992年第3期62-69,共8页
Mathematica Applicata
关键词
离散大系统
稳定性
矩阵方程
Discrete large scale system
Stability
Lyapunov function
Matrix equation
