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标题：<svg style="vertical-align:-0.27pt;width:24.2875px;" id="M1" height="15.8625" version="1.1" viewBox="0 0 24.2875 15.8625" width="24.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.8625)"> <g transform="translate(72,-59.31)"> <text transform="matrix(1,0,0,-1,-71.95,59.63)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝒲</tspan> </text> </g> </g> </svg>-Stability of Multistable Nonlinear Discrete-Time Systems
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作者：Zhishuai Ding ; Guifang Cheng ; Xiaowu Mu 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2012
卷号：2012
DOI：10.1155/2012/418091
出版社：Hindawi Publishing Corporation
摘要：Motivated by the importance and application of discrete dynamical systems, this paper presents a new Lyapunov characterization which is an extension of conventional Lyapunov characterization for multistable discrete-time nonlinear systems. Based on a new type stability notion of 𝒲-stability introduced by D. Efimov, the estimates of solution and the Lyapunov stability theorem and converse theorem are proposed for multi-stable discrete-time nonlinear systems.