-Stability of Multistable Nonlinear Discrete-Time Systems

Zhishuai Ding, Guifang Cheng and Xiaowu Mu

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-11

Abstract:

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 -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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:418091

DOI: 10.1155/2012/418091

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