Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays
This paper is concerned with the finite-time projective synchronization problem of fractional-order memristive neural networks (FMNNs) with mixed time-varying delays. Firstly, under the frame of fractional-order differential inclusion and the set-valued map, several criteria are derived to ensure fi...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/4168705 |
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| author | Meng Hui Chen Wei Jiao Zhang Herbert Ho-Ching Iu Ni Luo Rui Yao Lin Bai |
| author_facet | Meng Hui Chen Wei Jiao Zhang Herbert Ho-Ching Iu Ni Luo Rui Yao Lin Bai |
| author_sort | Meng Hui |
| collection | DOAJ |
| description | This paper is concerned with the finite-time projective synchronization problem of fractional-order memristive neural networks (FMNNs) with mixed time-varying delays. Firstly, under the frame of fractional-order differential inclusion and the set-valued map, several criteria are derived to ensure finite-time projective synchronization of FMNNs. Meanwhile, three properties are established to deal with different forms of the finite-time fractional differential inequation, which greatly extend some results on estimation of settling time of FMNNs. In addition to the traditional Lyapunov function with 1-norm form in Theorem 1, a more general and flexible Lyapunov function based on p-norm is constructed in Theorem 2 to analyze the finite-time projective synchronization problem, and the estimation of settling time has been verified less conservative than previous results. Finally, numerical examples are provided to demonstrate the effectiveness of the derived theoretical results. |
| format | Article |
| id | doaj-art-c63653539be246e6aa66a2ed3371ff96 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-c63653539be246e6aa66a2ed3371ff962025-02-03T06:46:46ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/41687054168705Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying DelaysMeng Hui0Chen Wei1Jiao Zhang2Herbert Ho-Ching Iu3Ni Luo4Rui Yao5Lin Bai6School of Electronic and Control, Chang’an University, Xi’an, Shaanxi 710064, ChinaSchool of Electronic and Control, Chang’an University, Xi’an, Shaanxi 710064, ChinaSchool of Electrical Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, ChinaSchool of Electrical, Electronic and Computer Engineering, University of Western Australia, Perth, WA 6009, AustraliaSchool of Electronic and Control, Chang’an University, Xi’an, Shaanxi 710064, ChinaSchool of Electronic and Control, Chang’an University, Xi’an, Shaanxi 710064, ChinaSchool of Electronic and Control, Chang’an University, Xi’an, Shaanxi 710064, ChinaThis paper is concerned with the finite-time projective synchronization problem of fractional-order memristive neural networks (FMNNs) with mixed time-varying delays. Firstly, under the frame of fractional-order differential inclusion and the set-valued map, several criteria are derived to ensure finite-time projective synchronization of FMNNs. Meanwhile, three properties are established to deal with different forms of the finite-time fractional differential inequation, which greatly extend some results on estimation of settling time of FMNNs. In addition to the traditional Lyapunov function with 1-norm form in Theorem 1, a more general and flexible Lyapunov function based on p-norm is constructed in Theorem 2 to analyze the finite-time projective synchronization problem, and the estimation of settling time has been verified less conservative than previous results. Finally, numerical examples are provided to demonstrate the effectiveness of the derived theoretical results.http://dx.doi.org/10.1155/2020/4168705 |
| spellingShingle | Meng Hui Chen Wei Jiao Zhang Herbert Ho-Ching Iu Ni Luo Rui Yao Lin Bai Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays Complexity |
| title | Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays |
| title_full | Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays |
| title_fullStr | Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays |
| title_full_unstemmed | Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays |
| title_short | Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays |
| title_sort | finite time projective synchronization of fractional order memristive neural networks with mixed time varying delays |
| url | http://dx.doi.org/10.1155/2020/4168705 |
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