New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control
This paper mainly researches the synchronization issue of discrete-time recurrent neural networks (DTRNNs) with time-varying delay based on event-triggered control (ETC). ETC can effectively decrease the quantity of controller updates performed and the utilization of communication resources. By usin...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/15/2816 |
| _version_ | 1797441326814330880 |
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| author | Lei Yu Guici Chen Feng Jiang Zhi Wang |
| author_facet | Lei Yu Guici Chen Feng Jiang Zhi Wang |
| author_sort | Lei Yu |
| collection | DOAJ |
| description | This paper mainly researches the synchronization issue of discrete-time recurrent neural networks (DTRNNs) with time-varying delay based on event-triggered control (ETC). ETC can effectively decrease the quantity of controller updates performed and the utilization of communication resources. By using Lyapunov–Krasovskii functional (LKF), Schur complement lemma, discrete time free weight matrix method, linear matrix inequalities (LMIs) and other analytical methods, the stability conditions of the error system are deduced. Accordingly, a class of event-triggered state feedback controllers is designed. Finally, through two numerical examples with simulations, the effectiveness of the controller is verified. |
| first_indexed | 2024-03-09T12:21:26Z |
| format | Article |
| id | doaj.art-07f8036d16a741dbb398f79d891baa9b |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T12:21:26Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-07f8036d16a741dbb398f79d891baa9b2023-11-30T22:39:11ZengMDPI AGMathematics2227-73902022-08-011015281610.3390/math10152816New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered ControlLei Yu0Guici Chen1Feng Jiang2Zhi Wang3College of Sciences, Wuhan University of Science and Technology, Wuhan 430065, ChinaCollege of Sciences, Wuhan University of Science and Technology, Wuhan 430065, ChinaSchool of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan 430073, ChinaSchool of Sciences, Ningbo University of Technology, 201 Fenghua Rd., Ningbo 315211, ChinaThis paper mainly researches the synchronization issue of discrete-time recurrent neural networks (DTRNNs) with time-varying delay based on event-triggered control (ETC). ETC can effectively decrease the quantity of controller updates performed and the utilization of communication resources. By using Lyapunov–Krasovskii functional (LKF), Schur complement lemma, discrete time free weight matrix method, linear matrix inequalities (LMIs) and other analytical methods, the stability conditions of the error system are deduced. Accordingly, a class of event-triggered state feedback controllers is designed. Finally, through two numerical examples with simulations, the effectiveness of the controller is verified.https://www.mdpi.com/2227-7390/10/15/2816synchronizationDTRNNsETCtime-varying delayLKF |
| spellingShingle | Lei Yu Guici Chen Feng Jiang Zhi Wang New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control Mathematics synchronization DTRNNs ETC time-varying delay LKF |
| title | New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control |
| title_full | New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control |
| title_fullStr | New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control |
| title_full_unstemmed | New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control |
| title_short | New Criterias of Synchronization for Discrete-Time Recurrent Neural Networks with Time-Varying Delay via Event-Triggered Control |
| title_sort | new criterias of synchronization for discrete time recurrent neural networks with time varying delay via event triggered control |
| topic | synchronization DTRNNs ETC time-varying delay LKF |
| url | https://www.mdpi.com/2227-7390/10/15/2816 |
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