摘要
研究了离散广义线性系统的稳定性问题.利用等价变换和等价系统的方法,给出了其平衡态稳定取决于其系数矩阵的标准型中的谱σ(A1)的元素均在单位圆内等几个充要条件。
The stability for singular discrete linear systems is analyzed by the method of equivalent transformation and equivalent systems. Some sufficient and necessary conditions of asymptotic stability for singular system are presented, and the asymptotic stability is determined by that all the elements of spectrum δ (A 1) in the standard form of its coefficient matrix are located in the unit circle. The criterion of robust stability for undermined discrete singular system is given.
出处
《陕西师范大学学报(自然科学版)》
CAS
CSCD
北大核心
1999年第4期17-21,共5页
Journal of Shaanxi Normal University:Natural Science Edition
基金
广西大学博士科研启动基金
关键词
离散广义系统
线性系统
渐近稳定性
稳定性
discrete singular system
linear systems
asymptotically stability
regularity
robust stability