摘要
讨论了线性系统当系数阵为奇异时 (此时称为奇异系统 )零解的稳定性 ,通过引入相伴系统和良奇异系统的概念 ,建立了良奇异系统零解的稳定性与其相伴系统零解的稳定性相等价的结果 .由于良奇异系统的相伴系统为非奇异系统 ,从而对这一类奇异系统可化为非奇异系统并利用已知结果来得出其零解的稳定性判别准则 .文中还给出例子说明所得结果之应用 .
For the linear difference systems with singular coefficient matrix ( the so- called singular systems) ,this paper initially discussed the stability of the zero solution.By introducing the notions of the accompanying systems and the good singular systems,it established the result on equivalence of stability for zero solutions between the good singular system and its accompanying system. Since the accompanying system of a good singular system is non- singular system so that the stability criteria of the zero solution can be obtained by the known results. Several examples were given to illustrate the applications of the obtained results.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2000年第8期1122-1125,共4页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目!(1 9831 0 30 )
关键词
线性系统
稳定性
差分系统
linear systems
difference
stability
consistent norms
good singular linear difference sys- tems
accompanying systems
