Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays
Abstract This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-06-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1666-z |
| _version_ | 1819113320083357696 |
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| author | Wei Zhao Huaiqin Wu |
| author_facet | Wei Zhao Huaiqin Wu |
| author_sort | Wei Zhao |
| collection | DOAJ |
| description | Abstract This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results. |
| first_indexed | 2024-12-22T04:27:31Z |
| format | Article |
| id | doaj.art-d3c707fe2e2344418f6f639699629b05 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-22T04:27:31Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-d3c707fe2e2344418f6f639699629b052022-12-21T18:39:07ZengSpringerOpenAdvances in Difference Equations1687-18472018-06-012018112110.1186/s13662-018-1666-zFixed-time synchronization of semi-Markovian jumping neural networks with time-varying delaysWei Zhao0Huaiqin Wu1School of Science, Yanshan UniversitySchool of Science, Yanshan UniversityAbstract This paper is concerned with the global fixed-time synchronization issue for semi-Markovian jumping neural networks with time-varying delays. A novel state-feedback controller, which includes integral terms and time-varying delay terms, is designed to realize the fixed-time synchronization goal between the drive system and the response system. By applying the Lyapunov functional approach and matrix inequality analysis technique, the fixed-time synchronization conditions are addressed in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are provided to illustrate the feasibility of the proposed control scheme and the validity of theoretical results.http://link.springer.com/article/10.1186/s13662-018-1666-zFixed-time synchronizationSemi-Markovian jumpingNeural networksTime-varying delay |
| spellingShingle | Wei Zhao Huaiqin Wu Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays Advances in Difference Equations Fixed-time synchronization Semi-Markovian jumping Neural networks Time-varying delay |
| title | Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays |
| title_full | Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays |
| title_fullStr | Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays |
| title_full_unstemmed | Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays |
| title_short | Fixed-time synchronization of semi-Markovian jumping neural networks with time-varying delays |
| title_sort | fixed time synchronization of semi markovian jumping neural networks with time varying delays |
| topic | Fixed-time synchronization Semi-Markovian jumping Neural networks Time-varying delay |
| url | http://link.springer.com/article/10.1186/s13662-018-1666-z |
| work_keys_str_mv | AT weizhao fixedtimesynchronizationofsemimarkovianjumpingneuralnetworkswithtimevaryingdelays AT huaiqinwu fixedtimesynchronizationofsemimarkovianjumpingneuralnetworkswithtimevaryingdelays |