线性离散大系统关联稳定性的一种判别方法  

Connective stability discriminating method for large-scale linear-discrete systems

作　　者：孙水玲[1] 陈潮填[1] 

机构地区：[1]广东民族学院计算机科学系,广东广州510665

出　　处：《河海大学学报（自然科学版）》2003年第5期589-592,共4页Journal of Hohai University(Natural Sciences)

基　　金：广东省自然科学基金资助项目(990860);国家自然科学基金资助项目(60074039)

摘　　要：利用向量李雅普诺夫函数法,分别研究了具有自互联作用和不具有自互联作用的线性离散大系统关联稳定性,给出了一种根据辅助矩阵特征根位置判别稳定性的方法及其算法,并用例子说明了其有效性.By use of the vector Lyapunov function method,the connective stability of the largescale lineardiscrete system is studied under the selfmutual connective effect and in the absence of the effect.A method is presented for discrimination of the connective stability based on the position of eigenvalues of an auxiliary matrix,and the algorithm of the method is also given. The effectiveness of this method is verified by an example.

关 键 词：线性离散大系统 关联稳定性 向量李雅普诺夫函数 阶常数矩阵 

分 类 号：N941.3[自然科学总论—系统科学]