时变离散系统的稳定性(2)

本文利用李雅普诺夫第二方法,对广义特征根μ_i(k)满足sign[|μ_i(K)|-1]=sign[|μ_i(o)|-1](i=1,2…,n;(?)K=0,1,2,…,∞)的线性时变离散系统的稳定性进行了研究,给出了稳定性及不稳定性的判据。并根据线性系统得到的结果,分别研究了方程右端含有非线性项以及含有小参数的时变离散系统的稳定性。

The Stability of Time-Vavying Discrete Systems(2)

By Lyapunov's second method,the stability is dealt with forthe linear time—varying discrete systems whose generalizedeigenvalues μ (K) satisfysign〔|μ(K)|-1〕=sign〔|μ_1(0)|-1〕(i=1,2,…,n;(?)K=0,1,2,…,∞)and the criteria of stability and unstability are given in this paper.And making use of the obtained results of linear systems,thestability is studied respectively for the time—varying discretesystems with nonlinear terms and small parameters on the rightside of the equations.