摘要
针对一类带有扰动的非线性系统,在它的标称系统的自由动态是一致渐近稳定和它的标称系统存在ISS-Lyapunov函数条件下,运用Lyapunov方法,得出该类系统是小信号L_∞稳定和L_∞稳定的充分条件.
This paper deals with nonlinear systems with a structured perturbation. On the condition that its nominal system exists a ISS-Lyapunov function and its free dynamic systems are uniformly asymptotical stable respectively, based on the Lyapunov method, we derive sufficient conditions which guatantees this kind of systems are small-signal L∞ stable and small-signal L∞, stable.
出处
《应用泛函分析学报》
CSCD
2007年第4期349-352,共4页
Acta Analysis Functionalis Applicata
基金
河南省教育厅自然科学基础研究(200510459002)
