时变离散系统的渐进稳定性检验定理及算法  

Theorem and Algorithm of Asymptotic Stability Test for Time Variant Discrete System

作　　者：肖扬[1] 杜锡钰[1] 

机构地区：[1]北方交通大学电子信息工程学院

出　　处：《北方交通大学学报》1998年第6期1-7,共7页Journal of Northern Jiaotong University

基　　金：国家自然科学基金

摘　　要：提出了时变离散系统的渐近稳定性检验定理和算法．给出基于时变离散系统的传输矩阵的范数或谱半径检验定理的判椐，为时变离散系统的渐近稳定的充分和必要条件．讨论了时变离散系统与端点离散时不变系统两者间稳定性检验的区别，表明时变离散系统的稳定性不能由其时变系统矩阵集合的端点矩阵来确定．The theorem and algorithms of asymptotic stability test for time variant discrete systems are presented. Based on the norm or spectral radius of transfer matrices of the systems, the criteria of the test theorems presented here are necessary and sufficient conditions for asymptotic stability of time variant discrete systems. The difference of stability test between time variant discretesystems and extreme time invariant discrete systems has been discussed. A counterexample that the stability of a time variant discrete system can not be determined by the extreme matrices of its time variant system matrix set.

关 键 词：时变离散系数 渐近稳定性检验 算法 传输矩阵 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置] TP11[自动化与计算机技术—控制科学与工程]