Input-to-State Stability of Singularly Perturbed Control Systems with Delays
We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/401572 |
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| _version_ | 1832566758648578048 |
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| author | Yongxiang Zhao Aiguo Xiao Li Li |
| author_facet | Yongxiang Zhao Aiguo Xiao Li Li |
| author_sort | Yongxiang Zhao |
| collection | DOAJ |
| description | We study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays. |
| format | Article |
| id | doaj-art-5c9d998b75d34865b1cce2b73ecbeee1 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5c9d998b75d34865b1cce2b73ecbeee12025-02-03T01:03:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/401572401572Input-to-State Stability of Singularly Perturbed Control Systems with DelaysYongxiang Zhao0Aiguo Xiao1Li Li2School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404000, ChinaSchool of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, Hunan 411105, ChinaSchool of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou 404000, ChinaWe study the input-to-state stability of singularly perturbed control systems with delays. By using the generalized Halanay inequality and Lyapunov functions, we derive the input-to-state stability of some classes of linear and nonlinear singularly perturbed control systems with delays.http://dx.doi.org/10.1155/2013/401572 |
| spellingShingle | Yongxiang Zhao Aiguo Xiao Li Li Input-to-State Stability of Singularly Perturbed Control Systems with Delays Journal of Applied Mathematics |
| title | Input-to-State Stability of Singularly Perturbed Control Systems with Delays |
| title_full | Input-to-State Stability of Singularly Perturbed Control Systems with Delays |
| title_fullStr | Input-to-State Stability of Singularly Perturbed Control Systems with Delays |
| title_full_unstemmed | Input-to-State Stability of Singularly Perturbed Control Systems with Delays |
| title_short | Input-to-State Stability of Singularly Perturbed Control Systems with Delays |
| title_sort | input to state stability of singularly perturbed control systems with delays |
| url | http://dx.doi.org/10.1155/2013/401572 |
| work_keys_str_mv | AT yongxiangzhao inputtostatestabilityofsingularlyperturbedcontrolsystemswithdelays AT aiguoxiao inputtostatestabilityofsingularlyperturbedcontrolsystemswithdelays AT lili inputtostatestabilityofsingularlyperturbedcontrolsystemswithdelays |