Global quasi-synchronization and global anti-synchronization of delayed neural networks with discontinuous activations via non-fragile control strategy
| Autor: | Xinxin Zhang, Peifeng Niu, Yunpeng Ma, Xiaobin Hu, Guoqiang Li |
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| Rok vydání: | 2019 |
| Předmět: |
Lyapunov function
0209 industrial biotechnology Artificial neural network Computer science Cognitive Neuroscience 02 engineering and technology Function (mathematics) Measure (mathematics) Computer Science Applications Term (time) symbols.namesake Matrix (mathematics) 020901 industrial engineering & automation Differential inclusion Artificial Intelligence Control theory Synchronization (computer science) 0202 electrical engineering electronic engineering information engineering symbols 020201 artificial intelligence & image processing |
| Zdroj: | Neurocomputing. 361:1-9 |
| ISSN: | 0925-2312 |
| Popis: | This paper deals with the global quasi-synchronization and global anti-synchronization issue of delayed neural networks with discontinuous activations (DNNDA) by means of the non-fragile control strategy. In this paper, a class of DNNDA model is presented. Furthermore, applying the Lyapunov-Krasovskii function with matrix measure, the sufficient conditions are put forward to ensure that such DNNDA drive system and DNNDA response system are global quasi-synchronized. In addition, based on a novel Lur′e-Postnikov Lyapunov function, differential inclusion theory and inequality analysis technique, the sufficient conditions to achieve the global anti-synchronization of the DNNDA drive system and DNNDA response system are proposed in term of the Linear matrix inequalities (LMIs). Finally, two typical numerical simulations are provided to show the effectiveness of the obtained results. |
| Databáze: | OpenAIRE |
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