Synchronization Problems of Fuzzy Competitive Neural Networks
This paper is devoted to investigating the fixed-time and finite-time synchronization for fuzzy competitive neural networks with discontinuous activation functions. We introduce Filippov solution for overcoming the nonexistence of classical solutions of discontinuous system. Using the fixed-time syn...
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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: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/5926415 |
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| _version_ | 1850216060483010560 |
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| author | Lingping Zhang Feng Duan Bo Du |
| author_facet | Lingping Zhang Feng Duan Bo Du |
| author_sort | Lingping Zhang |
| collection | DOAJ |
| description | This paper is devoted to investigating the fixed-time and finite-time synchronization for fuzzy competitive neural networks with discontinuous activation functions. We introduce Filippov solution for overcoming the nonexistence of classical solutions of discontinuous system. Using the fixed-time synchronization theory, inequality technique, we obtain simple robust fixed-time synchronization conditions. Designing proper feedback controllers is a key step for the implementation of synchronization. Furthermore, based on the fixed-time robust synchronization, we design a switching adaptive controller and obtain the finite-time synchronization. It is noted that the settling time is independent on the initial value in the fixed-time robust synchronization. Hence, under the conditions of this paper, the considered system has better stability and feasibility. Finally, the theoretical results of this paper are attested to be indeed feasible in terms of a numerical example. |
| format | Article |
| id | doaj-art-417f67569a594fbcb203fd937530bb93 |
| institution | OA Journals |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-417f67569a594fbcb203fd937530bb932025-08-20T02:08:25ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/5926415Synchronization Problems of Fuzzy Competitive Neural NetworksLingping Zhang0Feng Duan1Bo Du2School of Mathematics and StatisticsBasic Education DepartmentSchool of Mathematics and StatisticsThis paper is devoted to investigating the fixed-time and finite-time synchronization for fuzzy competitive neural networks with discontinuous activation functions. We introduce Filippov solution for overcoming the nonexistence of classical solutions of discontinuous system. Using the fixed-time synchronization theory, inequality technique, we obtain simple robust fixed-time synchronization conditions. Designing proper feedback controllers is a key step for the implementation of synchronization. Furthermore, based on the fixed-time robust synchronization, we design a switching adaptive controller and obtain the finite-time synchronization. It is noted that the settling time is independent on the initial value in the fixed-time robust synchronization. Hence, under the conditions of this paper, the considered system has better stability and feasibility. Finally, the theoretical results of this paper are attested to be indeed feasible in terms of a numerical example.http://dx.doi.org/10.1155/2022/5926415 |
| spellingShingle | Lingping Zhang Feng Duan Bo Du Synchronization Problems of Fuzzy Competitive Neural Networks Advances in Mathematical Physics |
| title | Synchronization Problems of Fuzzy Competitive Neural Networks |
| title_full | Synchronization Problems of Fuzzy Competitive Neural Networks |
| title_fullStr | Synchronization Problems of Fuzzy Competitive Neural Networks |
| title_full_unstemmed | Synchronization Problems of Fuzzy Competitive Neural Networks |
| title_short | Synchronization Problems of Fuzzy Competitive Neural Networks |
| title_sort | synchronization problems of fuzzy competitive neural networks |
| url | http://dx.doi.org/10.1155/2022/5926415 |
| work_keys_str_mv | AT lingpingzhang synchronizationproblemsoffuzzycompetitiveneuralnetworks AT fengduan synchronizationproblemsoffuzzycompetitiveneuralnetworks AT bodu synchronizationproblemsoffuzzycompetitiveneuralnetworks |