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| Content Provider | IET Digital Library |
|---|---|
| Author | Zhang, Ruimei Zeng, Deqiang Zhong, Shouming Yu, Yongbin Cheng, Jun |
| Abstract | This study presents a rigorous mathematical framework for the global asymptotic synchronisation of memristive neural networks comprising multiple time-varying delays (MTVDs) through sampled-data control. First, a novel Lyapunov–Krasovskii functional (LKF) is constructed with some new terms, which can fully capture the information on lower and upper bounds of each MTVD. Second, extended convex combination method is presented, which can successfully solve the combination of MTVDs. Third, based on the LKF and employing the extended convex combination technique, synchronisation criterion is derived. In comparison with existing results, the established criterion is more appropriate since it fully utilises the lower and upper bounds of each MTVD. Finally, simulation results are presented to validate the theoretical models. |
| Starting Page | 922 |
| Ending Page | 932 |
| Page Count | 11 |
| ISSN | 17518644 |
| Volume Number | 12 |
| e-ISSN | 17518652 |
| Issue Number | Issue 7, May (2018) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/12/7 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.1172 |
| Journal | IET Control Theory & Applications |
| Publisher Date | 2018-02-01 |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Asymptotic Stability Circuit Implementations Combinatorial Mathematics Delay Discrete Control System Distributed Parameter Control System Extended Convex Combination Method Global Asymptotic Synchronisation LKF Lyapunov Method Lyapunov-Krasovskii Functional Memristive Neural Network Memristor Circuit MTVD Multiple Time-varying Delay Neural Nets Resistor Sampled Data System Sampled-data Control Sampled-data Synchronisation Stability in Control Theory Synchronisation Synchronisation Criterion Time Varying Control System Time Varying System |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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