Robust exponential stability of nonlinear impulsive switched systems with time-varying delays
This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome the impulsive and switching jump of adjacent...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2012-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14069 |
| _version_ | 1818384548943101952 |
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| author | Xiu Liu Shouming Zhong Xiuyong Ding |
| author_facet | Xiu Liu Shouming Zhong Xiuyong Ding |
| author_sort | Xiu Liu |
| collection | DOAJ |
| description | This paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome the impulsive and switching jump of adjacent Lyapunov functionals at impulsive switching times. Based on this, a delay-independent sufficient condition of exponential stability is presented by minimum dwell time. Finally, an illustrative numerical example is given to show the effectiveness of the obtained theoretical results. |
| first_indexed | 2024-12-14T03:24:01Z |
| format | Article |
| id | doaj.art-4f19c069192c41cfa0f51069958f0247 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-14T03:24:01Z |
| publishDate | 2012-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-4f19c069192c41cfa0f51069958f02472022-12-21T23:18:57ZengVilnius University PressNonlinear Analysis1392-51132335-89632012-04-01172Robust exponential stability of nonlinear impulsive switched systems with time-varying delaysXiu Liu0Shouming Zhong1Xiuyong Ding2University of Electronic Science and Technology of ChinaUniversity of Electronic Science and Technology of ChinaUniversity of Electronic Science and Technology of ChinaThis paper deals with a class of uncertain nonlinear impulsive switched systems with time-varying delays. A novel type of piecewise Lyapunov functionals is constructed to derive the exponential stability. This type of functionals can efficiently overcome the impulsive and switching jump of adjacent Lyapunov functionals at impulsive switching times. Based on this, a delay-independent sufficient condition of exponential stability is presented by minimum dwell time. Finally, an illustrative numerical example is given to show the effectiveness of the obtained theoretical results.http://www.journals.vu.lt/nonlinear-analysis/article/view/14069impulsive systemsswitched systemsminimum dwell timeexponential stabilitydelays |
| spellingShingle | Xiu Liu Shouming Zhong Xiuyong Ding Robust exponential stability of nonlinear impulsive switched systems with time-varying delays Nonlinear Analysis impulsive systems switched systems minimum dwell time exponential stability delays |
| title | Robust exponential stability of nonlinear impulsive switched systems with time-varying delays |
| title_full | Robust exponential stability of nonlinear impulsive switched systems with time-varying delays |
| title_fullStr | Robust exponential stability of nonlinear impulsive switched systems with time-varying delays |
| title_full_unstemmed | Robust exponential stability of nonlinear impulsive switched systems with time-varying delays |
| title_short | Robust exponential stability of nonlinear impulsive switched systems with time-varying delays |
| title_sort | robust exponential stability of nonlinear impulsive switched systems with time varying delays |
| topic | impulsive systems switched systems minimum dwell time exponential stability delays |
| url | http://www.journals.vu.lt/nonlinear-analysis/article/view/14069 |
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