多时滞线性定常系统的稳定性分析

Unconditional stability analysis for linear systems with multidelays

引进了α双对角占优的定义及M矩阵的性质,给出了多滞后线性定常系统xi(t)= mj=1[bijxj(t)+cijxj(t-τij)],bij≥0,cij≥0,i≠j,i=1,2,…,m渐近稳定的几个新判据,并做了简明扼要的证明.

The stability of the linear system:i(t)=mj=1,bij≥0,cij≥0,i≠j,i=1,2,...,m is investigated by introducing the concept of αbidiagonal dominance and by use of the characteristics of the Mmatrices.Several new criteria are obtained.