W-Stability of Multistable Nonlinear Discrete-Time Systems
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 introduc...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/418091 |
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| _version_ | 1832567239001243648 |
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| author | Zhishuai Ding Guifang Cheng Xiaowu Mu |
| author_facet | Zhishuai Ding Guifang Cheng Xiaowu Mu |
| author_sort | Zhishuai Ding |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-824ce96bb47e4b999b7b9fcc68774688 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-824ce96bb47e4b999b7b9fcc687746882025-02-03T01:02:03ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/418091418091W-Stability of Multistable Nonlinear Discrete-Time SystemsZhishuai Ding0Guifang Cheng1Xiaowu Mu2Department of Mathematics, Zhengzhou University, Zhengzhou, Hennan 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou, Hennan 450001, ChinaDepartment of Mathematics, Zhengzhou University, Zhengzhou, Hennan 450001, ChinaMotivated 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.http://dx.doi.org/10.1155/2012/418091 |
| spellingShingle | Zhishuai Ding Guifang Cheng Xiaowu Mu W-Stability of Multistable Nonlinear Discrete-Time Systems Discrete Dynamics in Nature and Society |
| title | W-Stability of Multistable Nonlinear Discrete-Time Systems |
| title_full | W-Stability of Multistable Nonlinear Discrete-Time Systems |
| title_fullStr | W-Stability of Multistable Nonlinear Discrete-Time Systems |
| title_full_unstemmed | W-Stability of Multistable Nonlinear Discrete-Time Systems |
| title_short | W-Stability of Multistable Nonlinear Discrete-Time Systems |
| title_sort | w stability of multistable nonlinear discrete time systems |
| url | http://dx.doi.org/10.1155/2012/418091 |
| work_keys_str_mv | AT zhishuaiding wstabilityofmultistablenonlineardiscretetimesystems AT guifangcheng wstabilityofmultistablenonlineardiscretetimesystems AT xiaowumu wstabilityofmultistablenonlineardiscretetimesystems |