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

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

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 obtai...

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Veröffentlicht in:中国科学通报：英文版 1996 (7), p.539-541
1. Verfasser: 张宝善
Format: Artikel
Sprache:eng
Schlagworte:
asymptotic
eigenvalues
function
interval
Lyapunov’s
matrices
stability
symmetric
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Zusammenfassung: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）
ISSN:2095-9273