Exponential Synchronization in Inertial Neural Networks with Time Delays
In this paper, exponential synchronization for inertial neural networks with time delays is investigated. First, by introducing a directive Lyapunov functional, a sufficient condition is derived to ascertain the global exponential synchronization of the drive and response systems based on feedback c...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-03-01
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| Series: | Electronics |
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| Online Access: | https://www.mdpi.com/2079-9292/8/3/356 |
| _version_ | 1797999459698737152 |
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| author | Liang Ke Wanli Li |
| author_facet | Liang Ke Wanli Li |
| author_sort | Liang Ke |
| collection | DOAJ |
| description | In this paper, exponential synchronization for inertial neural networks with time delays is investigated. First, by introducing a directive Lyapunov functional, a sufficient condition is derived to ascertain the global exponential synchronization of the drive and response systems based on feedback control. Second, by introducing a variable substitution, the second-order differential equation is transformed into a first-order differential equation. As such, a new Lyapunov functional is constructed to formulate a novel global exponential synchronization for the systems under study. The two obtained sufficient conditions complement each other and are suitable to be applied in different cases. Finally, two numerical examples are given to illustrated the effectiveness of the proposed theoretical results. |
| first_indexed | 2024-04-11T11:04:58Z |
| format | Article |
| id | doaj.art-41873a4e78b24ed6a69c879d06d517bd |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-04-11T11:04:58Z |
| publishDate | 2019-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-41873a4e78b24ed6a69c879d06d517bd2022-12-22T04:28:24ZengMDPI AGElectronics2079-92922019-03-018335610.3390/electronics8030356electronics8030356Exponential Synchronization in Inertial Neural Networks with Time DelaysLiang Ke0Wanli Li1School of Mechanical Engineering, Tongji University, Shanghai 201804, ChinaSchool of Mechanical Engineering, Tongji University, Shanghai 201804, ChinaIn this paper, exponential synchronization for inertial neural networks with time delays is investigated. First, by introducing a directive Lyapunov functional, a sufficient condition is derived to ascertain the global exponential synchronization of the drive and response systems based on feedback control. Second, by introducing a variable substitution, the second-order differential equation is transformed into a first-order differential equation. As such, a new Lyapunov functional is constructed to formulate a novel global exponential synchronization for the systems under study. The two obtained sufficient conditions complement each other and are suitable to be applied in different cases. Finally, two numerical examples are given to illustrated the effectiveness of the proposed theoretical results.https://www.mdpi.com/2079-9292/8/3/356inertial neural networksvariable substitutionlyapunov functionalexponential synchronization |
| spellingShingle | Liang Ke Wanli Li Exponential Synchronization in Inertial Neural Networks with Time Delays Electronics inertial neural networks variable substitution lyapunov functional exponential synchronization |
| title | Exponential Synchronization in Inertial Neural Networks with Time Delays |
| title_full | Exponential Synchronization in Inertial Neural Networks with Time Delays |
| title_fullStr | Exponential Synchronization in Inertial Neural Networks with Time Delays |
| title_full_unstemmed | Exponential Synchronization in Inertial Neural Networks with Time Delays |
| title_short | Exponential Synchronization in Inertial Neural Networks with Time Delays |
| title_sort | exponential synchronization in inertial neural networks with time delays |
| topic | inertial neural networks variable substitution lyapunov functional exponential synchronization |
| url | https://www.mdpi.com/2079-9292/8/3/356 |
| work_keys_str_mv | AT liangke exponentialsynchronizationininertialneuralnetworkswithtimedelays AT wanlili exponentialsynchronizationininertialneuralnetworkswithtimedelays |