离散非线性时变系统指数稳定性的充分条件  

A sufficient condition for exponential stability of nonlinear time-varying discrete systems

作　　者：王隔霞[1] 

机构地区：[1]上海电力学院数理系,上海201300

出　　处：《西北师范大学学报（自然科学版）》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)

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.

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 

分 类 号：O175.13[理学—数学]