摘要
研究非线性时滞系统 X(t) =f(t,X(t) ) +g(t,X(t -τ(t) ) ) , t 0 ,X(t) =Φ(t) , -τ t 0的K 稳定性 ,通过使用不等式技巧和微分方程性质 ,得到了这类系统的K 全局渐近稳定性与K 全局指数稳定性的易于验证的时滞相关充分条件 .
The K-stability is studied in this paper for nonlinear delayed systems of the form(t)=f(t,X(t))+g(t,X(t-τ(t))),t0, X(t)=Φ(t),-τt0.Some sufficient delay-dependent conditions which guarantee K-global asymptotic stability and K-global exponential stability are obtained by using inequality technique and some properties of the differential equation.
出处
《四川师范大学学报(自然科学版)》
CAS
CSCD
2004年第3期259-263,共5页
Journal of Sichuan Normal University(Natural Science)