Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects
This paper investigates stability problems of nonlinear discrete systems with impulsive effects. The impulse is described by a nonlinear function of the state vector x. Employing a Lyapunov functional-based method, sufficient conditions for asymptotical stability of this class of discrete systems ar...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Watam Press
2010
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/19876 |
| _version_ | 1848750154117545984 |
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| author | Chen, Y. Xu, Honglei Teo, Kok Lay |
| author_facet | Chen, Y. Xu, Honglei Teo, Kok Lay |
| author_sort | Chen, Y. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates stability problems of nonlinear discrete systems with impulsive effects. The impulse is described by a nonlinear function of the state vector x. Employing a Lyapunov functional-based method, sufficient conditions for asymptotical stability of this class of discrete systems are derived. Finally, a numerical example is presented to illustrate the efficiency of our results. |
| first_indexed | 2025-11-14T07:32:19Z |
| format | Journal Article |
| id | curtin-20.500.11937-19876 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:32:19Z |
| publishDate | 2010 |
| publisher | Watam Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-198762017-01-30T12:16:16Z Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects Chen, Y. Xu, Honglei Teo, Kok Lay impulsive increments stability analysis impulsive control asymptotical stability discrete systems This paper investigates stability problems of nonlinear discrete systems with impulsive effects. The impulse is described by a nonlinear function of the state vector x. Employing a Lyapunov functional-based method, sufficient conditions for asymptotical stability of this class of discrete systems are derived. Finally, a numerical example is presented to illustrate the efficiency of our results. 2010 Journal Article http://hdl.handle.net/20.500.11937/19876 Watam Press fulltext |
| spellingShingle | impulsive increments stability analysis impulsive control asymptotical stability discrete systems Chen, Y. Xu, Honglei Teo, Kok Lay Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title | Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title_full | Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title_fullStr | Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title_full_unstemmed | Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title_short | Stability Analysis of a Class of Nonlinear Discrete Systems with Impulsive Effects |
| title_sort | stability analysis of a class of nonlinear discrete systems with impulsive effects |
| topic | impulsive increments stability analysis impulsive control asymptotical stability discrete systems |
| url | http://hdl.handle.net/20.500.11937/19876 |