A necessary and sufficient condition as well as a sufficientcondition of asymptotic stability for intervalsymmetric matrices

作     者：张宝善 

作者机构：Department of Mathematics Xuzhou Teachers College Xuzhou 221009 China 

出 版 物：《Chinese Science Bulletin》 (Chin. Sci. Bull.)

年 卷 期：1996年第41卷第7期

页      面：539-541页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

基　　金：Natural Science Foundation of Jiangsu Province 

主　　题：interval symmetric matrices asymptotic stability Lyapunov’s function eigenvalues. 

摘      要：For the following interval symmetric matricesG[B,C]={A│A=(aij)n×n=AT,bij≤aij≤cij},（1）B=(bij)n×n=BT,C=(cij)n×n=CT∈Rn×n,Bialas has studied the necessary and sufficient condi-tion of asymptotic stabilty of G[B,C].According to refs[2-6],the following result,the asympotic stability of G[B,C],can be obtained if that of its subsetH[B,C]={A│A=(aij)n×n∈G[B,C],aij=bij or cij}. （2）