摘要
在相当弱的条件下证明了离散非线性时变系统指数稳定性的一个充分条件,并给出了构造性证明.作为应用,给出了线性时变周期离散系统稳定性的某些简单实用的代数判据.
In this paper, a sufficient condition for exponential stability of nonlinear time-varying discrete systems is presented under very mild conditions. It is worth to point out that a novel proof of our result is given. As its application, a simple algebra criteria of stability test is provided for linear time-varying periodic discrete systems.
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
2010年第1期6-9,共4页
Journal of Northwest Normal University(Natural Science)
基金
上海高校选拔培养优秀青年教师科研专项基金资助项目(Z2009-20)
关键词
一致渐近稳定
离散时变系统
指数稳定
谱半径
Schur稳定
uniformly asymptotic stability
time-varying discrete system
exponential stabilityl spectral radius
Schur stability