区间中立型大系统的强壮稳定性

The Robust Stability of Large-Scale Interval Neutral Type System with Time-Delays

本文讨论中立型大系统,获得了这类问题稳定性的一些充分判据,作为特殊情况,还得到了与[1-11]中相应的一些不同的结果.这些结果并不象文献[1]和[2]那样,要求a_(ii)的上界q_(ii)小于零.

In this paper are discussed the robust stability of large-scale interval neutral type system with time-delays and the elements of coefficients mat- rices A_(ij), B_(ij), C_(ij), which are not known precisely yet. The upper and lowerbounds of the intervals are known in which the elements of coefficients matrices are contained (i.e., P_(ij)^(1)≤A_(ij)≤Q_(ij)^(1), P_(ij)^(2)≤B_(ij)≤Q_(ij)^(2), P_(ij)^(3)≤C_(ij)_(ij)Q_(ij)^(3)). The sufficient conditions are presented for robust stability of above-mentioned system by means of inequality and spectral theory of matrix. These conditions are not the same as those of Bialas, Xu, D., Liao, X., Xie, S., and the bounds upper of a_(ii) are not necessarily less than zero.