Finite-Time Robust Stabilization for Stochastic Neural Networks
This paper is concerned with the finite-time stabilization for a class of stochastic neural networks (SNNs) with noise perturbations. The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural networks in finite time. Compared with the previou...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/231349 |
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| _version_ | 1832548245892497408 |
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| author | Weixiong Jin Xiaoyang Liu Xiangjun Zhao Nan Jiang Zhengxin Wang |
| author_facet | Weixiong Jin Xiaoyang Liu Xiangjun Zhao Nan Jiang Zhengxin Wang |
| author_sort | Weixiong Jin |
| collection | DOAJ |
| description | This paper is concerned with the finite-time stabilization for a class of stochastic neural networks (SNNs) with noise perturbations. The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural networks in finite time. Compared with the previous references, a continuous stabilizator is designed to realize such stabilization objective. Based on the recent finite-time stability theorem of stochastic nonlinear systems, sufficient conditions are established for ensuring the finite-time stability of the dynamics of SNNs in probability. Then, the gain parameters of the finite-time controller could be obtained by solving a linear matrix inequality and the robust finite-time stabilization could also be guaranteed for SNNs with uncertain parameters. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method. |
| format | Article |
| id | doaj-art-188400b1f70d4e74aa78e05bd2abae82 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-188400b1f70d4e74aa78e05bd2abae822025-02-03T06:15:12ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/231349231349Finite-Time Robust Stabilization for Stochastic Neural NetworksWeixiong Jin0Xiaoyang Liu1Xiangjun Zhao2Nan Jiang3Zhengxin Wang4Department of Mathematics and Applied Mathematics, Lianyungang Teacher’s College, Lianyungang 222006, ChinaSchool of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Computer Science and Technology, Jiangsu Normal University, Xuzhou 221116, ChinaSchool of Economics, Jiangsu Normal University, Xuzhou 221116, ChinaCollege of Science, Nanjing University of Posts and Telecommunications, Nanjing 210046, ChinaThis paper is concerned with the finite-time stabilization for a class of stochastic neural networks (SNNs) with noise perturbations. The purpose of the addressed problem is to design a nonlinear stabilizator which can stabilize the states of neural networks in finite time. Compared with the previous references, a continuous stabilizator is designed to realize such stabilization objective. Based on the recent finite-time stability theorem of stochastic nonlinear systems, sufficient conditions are established for ensuring the finite-time stability of the dynamics of SNNs in probability. Then, the gain parameters of the finite-time controller could be obtained by solving a linear matrix inequality and the robust finite-time stabilization could also be guaranteed for SNNs with uncertain parameters. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design method.http://dx.doi.org/10.1155/2012/231349 |
| spellingShingle | Weixiong Jin Xiaoyang Liu Xiangjun Zhao Nan Jiang Zhengxin Wang Finite-Time Robust Stabilization for Stochastic Neural Networks Abstract and Applied Analysis |
| title | Finite-Time Robust Stabilization for Stochastic Neural Networks |
| title_full | Finite-Time Robust Stabilization for Stochastic Neural Networks |
| title_fullStr | Finite-Time Robust Stabilization for Stochastic Neural Networks |
| title_full_unstemmed | Finite-Time Robust Stabilization for Stochastic Neural Networks |
| title_short | Finite-Time Robust Stabilization for Stochastic Neural Networks |
| title_sort | finite time robust stabilization for stochastic neural networks |
| url | http://dx.doi.org/10.1155/2012/231349 |
| work_keys_str_mv | AT weixiongjin finitetimerobuststabilizationforstochasticneuralnetworks AT xiaoyangliu finitetimerobuststabilizationforstochasticneuralnetworks AT xiangjunzhao finitetimerobuststabilizationforstochasticneuralnetworks AT nanjiang finitetimerobuststabilizationforstochasticneuralnetworks AT zhengxinwang finitetimerobuststabilizationforstochasticneuralnetworks |