In this paper,the authors discuss the measure of interval matrices and its applications.The authors give a new method of the stability of interval matrices and get some sufficient and neessary conditions for it.These ...In this paper,the authors discuss the measure of interval matrices and its applications.The authors give a new method of the stability of interval matrices and get some sufficient and neessary conditions for it.These results are contained in work [4-9].展开更多
For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij<...For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij</sub>},（1）B=(b<sub>ij</sub>)<sub>n×n</sub>=B<sup>T</sup>,C=(c<sub>ij</sub>)<sub>n×n</sub>=C<sup>T</sup>∈R<sup>n×n</sup>,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=(a<sub>ij</sub>)<sub>n×n</sub>∈G[B,C],a<sub>ij</sub>=b<sub>ij</sub> or c<sub>ij</sub>}. （2）展开更多
Ⅰ. INTRODUCTION The stability of interval matrices has recently been studied and many results have been obtained. Consider n×n-dimensional real matrices P=(Pij) and Q=(qij), satisfying Pij≤qij and define N[P, Q...Ⅰ. INTRODUCTION The stability of interval matrices has recently been studied and many results have been obtained. Consider n×n-dimensional real matrices P=(Pij) and Q=(qij), satisfying Pij≤qij and define N[P, Q]={A=(aij)∈Rn×n|pij≤αij≤qij, i, j=1, 2…, n,}. The interval matrix N[P, Q] is said to be stable if A展开更多
文摘In this paper,the authors discuss the measure of interval matrices and its applications.The authors give a new method of the stability of interval matrices and get some sufficient and neessary conditions for it.These results are contained in work [4-9].
文摘For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij</sub>},（1）B=(b<sub>ij</sub>)<sub>n×n</sub>=B<sup>T</sup>,C=(c<sub>ij</sub>)<sub>n×n</sub>=C<sup>T</sup>∈R<sup>n×n</sup>,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=(a<sub>ij</sub>)<sub>n×n</sub>∈G[B,C],a<sub>ij</sub>=b<sub>ij</sub> or c<sub>ij</sub>}. （2）
文摘Ⅰ. INTRODUCTION The stability of interval matrices has recently been studied and many results have been obtained. Consider n×n-dimensional real matrices P=(Pij) and Q=(qij), satisfying Pij≤qij and define N[P, Q]={A=(aij)∈Rn×n|pij≤αij≤qij, i, j=1, 2…, n,}. The interval matrix N[P, Q] is said to be stable if A
