Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects
In this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/21/8/779 |
| _version_ | 1828358658057043968 |
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| author | Tao Chen Shiguo Peng Zhenhua Zhang |
| author_facet | Tao Chen Shiguo Peng Zhenhua Zhang |
| author_sort | Tao Chen |
| collection | DOAJ |
| description | In this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analysis technique, and suitable comparison systems to guarantee finite-time synchronization. At last, numerical examples are exploited to illustrate our theoretical results, and they testify the effectiveness of our results for complex dynamic systems. |
| first_indexed | 2024-04-14T03:32:59Z |
| format | Article |
| id | doaj.art-7a42e25ea39e45bf82f0694f2358f4f9 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T03:32:59Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-7a42e25ea39e45bf82f0694f2358f4f92022-12-22T02:14:53ZengMDPI AGEntropy1099-43002019-08-0121877910.3390/e21080779e21080779Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive EffectsTao Chen0Shiguo Peng1Zhenhua Zhang2School of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Guangzhou 510006, ChinaIn this paper, we investigate the finite-time synchronization problem for a class of Markovian jumping complex networks (MJCNs) with non-identical nodes and impulsive effects. Sufficient conditions for the MJCNs are presented based on an M-matrix technique, Lyapunov function method, stochastic analysis technique, and suitable comparison systems to guarantee finite-time synchronization. At last, numerical examples are exploited to illustrate our theoretical results, and they testify the effectiveness of our results for complex dynamic systems.https://www.mdpi.com/1099-4300/21/8/779finite-time synchronizationMarkovian jumpingimpulsive effectsnon-identical nodecomplex networks |
| spellingShingle | Tao Chen Shiguo Peng Zhenhua Zhang Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects Entropy finite-time synchronization Markovian jumping impulsive effects non-identical node complex networks |
| title | Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects |
| title_full | Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects |
| title_fullStr | Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects |
| title_full_unstemmed | Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects |
| title_short | Finite-Time Synchronization of Markovian Jumping Complex Networks with Non-Identical Nodes and Impulsive Effects |
| title_sort | finite time synchronization of markovian jumping complex networks with non identical nodes and impulsive effects |
| topic | finite-time synchronization Markovian jumping impulsive effects non-identical node complex networks |
| url | https://www.mdpi.com/1099-4300/21/8/779 |
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