Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control
This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is su...
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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/10.1155/2012/298095 |
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| _version_ | 1832563817140191232 |
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| author | Jingyi Wang Chen Xu Jianwen Feng Man Kam Kwong Francis Austin |
| author_facet | Jingyi Wang Chen Xu Jianwen Feng Man Kam Kwong Francis Austin |
| author_sort | Jingyi Wang |
| collection | DOAJ |
| description | This paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö’s formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results. |
| format | Article |
| id | doaj-art-ff6e05c8ee184e3094869a00cc65e462 |
| 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-ff6e05c8ee184e3094869a00cc65e4622025-02-03T01:12:31ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/298095298095Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning ControlJingyi Wang0Chen Xu1Jianwen Feng2Man Kam Kwong3Francis Austin4College of Information and Engineering, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaCollege of Mathematics and Computational Science, Shenzhen University, Shenzhen 518060, ChinaDepartment of Applied Mathematics, The Hong Kong Polytechnic University, Hong KongDepartment of Applied Mathematics, The Hong Kong Polytechnic University, Hong KongThis paper investigates the mean-square exponential synchronization of stochastic complex networks with Markovian switching and time-varying delays by using the pinning control method. The switching parameters are modeled by a continuous-time, finite-state Markov chain, and the complex network is subject to noise perturbations, Markovian switching, and internal and outer time-varying delays. Sufficient conditions for mean-square exponential synchronization are obtained by using the Lyapunov-Krasovskii functional, Itö’s formula, and the linear matrix inequality (LMI), and numerical examples are given to demonstrate the validity of the theoretical results.http://dx.doi.org/10.1155/2012/298095 |
| spellingShingle | Jingyi Wang Chen Xu Jianwen Feng Man Kam Kwong Francis Austin Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control Abstract and Applied Analysis |
| title | Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control |
| title_full | Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control |
| title_fullStr | Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control |
| title_full_unstemmed | Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control |
| title_short | Mean-Square Exponential Synchronization of Markovian Switching Stochastic Complex Networks with Time-Varying Delays by Pinning Control |
| title_sort | mean square exponential synchronization of markovian switching stochastic complex networks with time varying delays by pinning control |
| url | http://dx.doi.org/10.1155/2012/298095 |
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