Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays
In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exc...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/2006947 |
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| author | N. Sakthivel Yong-Ki Ma M. Mounika Devi G. Manopriya V. Vijayakumar Mooyul Huh |
| author_facet | N. Sakthivel Yong-Ki Ma M. Mounika Devi G. Manopriya V. Vijayakumar Mooyul Huh |
| author_sort | N. Sakthivel |
| collection | DOAJ |
| description | In this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exchanges follow a Bernoulli distribution, in which stochastic variables are used to model randomness. To achieve exponential synchronization, we designed a nonuniform sampled-data control approach. By constructing an appropriate Lyapunov–Krasovskii functional and using the Wirtinger inequality, sufficient criteria were obtained in terms of linear matrix inequalities. Finally, numerical examples were implemented to demonstrate the effectiveness and superiority of the proposed design techniques. |
| format | Article |
| id | doaj-art-dd6a5fbc40e440659e60e98127e11fe2 |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-dd6a5fbc40e440659e60e98127e11fe22025-08-20T03:26:29ZengWileyComplexity1099-05262022-01-01202210.1155/2022/2006947Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying DelaysN. Sakthivel0Yong-Ki Ma1M. Mounika Devi2G. Manopriya3V. Vijayakumar4Mooyul Huh5Department of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsDepartment of Applied MathematicsDepartment of MathematicsDivision of International StudiesIn this paper, the problem of exponential synchronization of semi-Markov jump stochastic complex dynamical networks using nonuniform sampled-data control with random delayed information exchanges among dynamical nodes are discussed. In particular, it is considered that random delayed information exchanges follow a Bernoulli distribution, in which stochastic variables are used to model randomness. To achieve exponential synchronization, we designed a nonuniform sampled-data control approach. By constructing an appropriate Lyapunov–Krasovskii functional and using the Wirtinger inequality, sufficient criteria were obtained in terms of linear matrix inequalities. Finally, numerical examples were implemented to demonstrate the effectiveness and superiority of the proposed design techniques.http://dx.doi.org/10.1155/2022/2006947 |
| spellingShingle | N. Sakthivel Yong-Ki Ma M. Mounika Devi G. Manopriya V. Vijayakumar Mooyul Huh Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays Complexity |
| title | Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays |
| title_full | Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays |
| title_fullStr | Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays |
| title_full_unstemmed | Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays |
| title_short | Nonuniform Sampled-Data Control for Synchronization of Semi-Markovian Jump Stochastic Complex Dynamical Networks with Time-Varying Delays |
| title_sort | nonuniform sampled data control for synchronization of semi markovian jump stochastic complex dynamical networks with time varying delays |
| url | http://dx.doi.org/10.1155/2022/2006947 |
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