Finite/fixed-time synchronization for Markovian complex-valued memristive neural networks with reaction–diffusion terms and its application
This paper pays attention to the synchronization issue of complex-valued memristive neural networks (CVMNNs) that contain reaction–diffusion terms and Markovian jump parameters. To better meet the needs of some practical projects, the problem of synchronization investigated in this paper is defined...
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| Published in | Neurocomputing (Amsterdam) Vol. 414; pp. 131 - 142 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
13.11.2020
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0925-2312 1872-8286 |
| DOI | 10.1016/j.neucom.2020.07.024 |
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| Abstract | This paper pays attention to the synchronization issue of complex-valued memristive neural networks (CVMNNs) that contain reaction–diffusion terms and Markovian jump parameters. To better meet the needs of some practical projects, the problem of synchronization investigated in this paper is defined in finite time and fixed time; namely, by designing a suitable controller, the synchronization error system can converge to zero in a finite/fixed time. Additionally, by combining Lyapunov–Krasovskii functional theory and algebraic inequality methods, a novel criterion of finite/fixed-time synchronization for proposed drive and response systems is derived. Note that the finite-time and fixed-time synchronization criteria are integrated into a unified theorem. Finally, two examples are provided, one is a simple numerical example to account for the feasibility of main results, the other realizes the application of this paper in establishing a spatiotemporal chaotic cryptosystem for image encryption, and the proposed cryptosystem has been illustrated that it has obvious advantages of large key space and high security by simulation results. |
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| AbstractList | This paper pays attention to the synchronization issue of complex-valued memristive neural networks (CVMNNs) that contain reaction–diffusion terms and Markovian jump parameters. To better meet the needs of some practical projects, the problem of synchronization investigated in this paper is defined in finite time and fixed time; namely, by designing a suitable controller, the synchronization error system can converge to zero in a finite/fixed time. Additionally, by combining Lyapunov–Krasovskii functional theory and algebraic inequality methods, a novel criterion of finite/fixed-time synchronization for proposed drive and response systems is derived. Note that the finite-time and fixed-time synchronization criteria are integrated into a unified theorem. Finally, two examples are provided, one is a simple numerical example to account for the feasibility of main results, the other realizes the application of this paper in establishing a spatiotemporal chaotic cryptosystem for image encryption, and the proposed cryptosystem has been illustrated that it has obvious advantages of large key space and high security by simulation results. |
| Author | Song, Shuai Man, Jingtao Zhang, Yijun Ning, Zhaoke Song, Xiaona |
| Author_xml | – sequence: 1 givenname: Xiaona surname: Song fullname: Song, Xiaona email: xiaona_97@163.com organization: School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China – sequence: 2 givenname: Jingtao surname: Man fullname: Man, Jingtao organization: School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China – sequence: 3 givenname: Shuai surname: Song fullname: Song, Shuai organization: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China – sequence: 4 givenname: Yijun surname: Zhang fullname: Zhang, Yijun organization: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China – sequence: 5 givenname: Zhaoke surname: Ning fullname: Ning, Zhaoke organization: School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China |
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| Keywords | Markovian jump parameters Image encryption Finite/fixed-time synchronization CVMNNs Reaction–diffusion terms |
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| SubjectTerms | CVMNNs Finite/fixed-time synchronization Image encryption Markovian jump parameters Reaction–diffusion terms |
| Title | Finite/fixed-time synchronization for Markovian complex-valued memristive neural networks with reaction–diffusion terms and its application |
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