具有慢变输入的非线性系统的稳定性

A Stability Property of Nonlinear Systems with Slowly\|Varying Inputs

本文考察慢时变线性系统和具有慢变输入的非线性系统的稳定性 .首先 ,针对慢时变线性系统 ,本文推广了一个众所周知的稳定性结论 .然后 ,本文考察输入信号在滑动平均意义下充分慢变的非线性系统对汇点的局部一致稳定性 .最后 ,简述上述结果的若干应用 .

This paper deals with some stability properties of slowly time\|varying linear systems and nonlinear systems subject to slowly\|varying exogenous signals.We first generalize a well\|known stability result for slowly time\|varying linear systems.Then we consider the stability properties of nonlinear systems with the inputs slowly\|varying in the sense of moving average.Finally,some applications of these results are outlined.\;