W-Stability of Multistable Nonlinear Discrete-Time Systems | Zendy

Zhishuai Ding | Zendy; Guifang Cheng | Zendy; Xiaowu Mu | Zendy

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W-Stability of Multistable Nonlinear Discrete-Time Systems

Author(s) -

Zhishuai Ding,

Guifang Cheng,

Xiaowu Mu

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/418091

Subject(s) - converse , nonlinear system , stability (learning theory) , characterization (materials science) , discrete time and continuous time , lyapunov function , extension (predicate logic) , mathematics , dynamical systems theory , control theory (sociology) , pure mathematics , computer science , physics , artificial intelligence , control (management) , machine learning , geometry , statistics , quantum mechanics , optics , programming language

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

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