New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects
In this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022931?viewType=HTML |
| _version_ | 1811221808568860672 |
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| author | Yinjie Qian Lian Duan Hui Wei |
| author_facet | Yinjie Qian Lian Duan Hui Wei |
| author_sort | Yinjie Qian |
| collection | DOAJ |
| description | In this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality techniques and the finite-time stability theory, novel criteria are established to realize the FFTS of the considered delayed MRDNNs, which generalize and complement previously known results. Finally, a numerical example is provided to support the obtained theoretical results. |
| first_indexed | 2024-04-12T08:06:34Z |
| format | Article |
| id | doaj.art-5ab2e423130e4f5ea0a3ab2235f58485 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-12T08:06:34Z |
| publishDate | 2022-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5ab2e423130e4f5ea0a3ab2235f584852022-12-22T03:41:08ZengAIMS PressAIMS Mathematics2473-69882022-07-0179169621697410.3934/math.2022931New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effectsYinjie Qian0Lian Duan1Hui Wei2School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, ChinaSchool of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, ChinaSchool of Mathematics and Big Data, Anhui University of Science and Technology, Huainan 232001, ChinaIn this paper, we further investigate the finite-/fixed-time synchronization (FFTS) problem for a class of delayed memristive reaction-diffusion neural networks (MRDNNs). By utilizing the state-feedback control techniques, and constructing a general Lyapunov functional, with the help of inequality techniques and the finite-time stability theory, novel criteria are established to realize the FFTS of the considered delayed MRDNNs, which generalize and complement previously known results. Finally, a numerical example is provided to support the obtained theoretical results.https://www.aimspress.com/article/doi/10.3934/math.2022931?viewType=HTMLmemristive neural networkfinite-/fixed-time synchronizationdiffusion effect |
| spellingShingle | Yinjie Qian Lian Duan Hui Wei New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects AIMS Mathematics memristive neural network finite-/fixed-time synchronization diffusion effect |
| title | New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects |
| title_full | New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects |
| title_fullStr | New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects |
| title_full_unstemmed | New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects |
| title_short | New results on finite-/fixed-time synchronization of delayed memristive neural networks with diffusion effects |
| title_sort | new results on finite fixed time synchronization of delayed memristive neural networks with diffusion effects |
| topic | memristive neural network finite-/fixed-time synchronization diffusion effect |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022931?viewType=HTML |
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