ArticleCognitive neurodynamics2015
Exponential synchronization of discontinuous neural networks with time-varying mixed delays via state feedback and impulsive control.
Article in Cognitive neurodynamics, 2015. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Finite-time and fixed-time synchronization analysis of inertial memristive neural networks with time-varying delays.Cognitive neurodynamics · 2018Article
- Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes.Proceedings. Mathematical, physical, and engineering sciences · 2017Article
- Stability and synchronization analysis of inertial memristive neural networks with time delays.Cognitive neurodynamics · 2016Article
- Pinning synchronization of coupled inertial delayed neural networks.Cognitive neurodynamics · 2015Article
- Stability analysis of memristor-based fractional-order neural networks with different memductance functions.Cognitive neurodynamics · 2015Article
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Authors and funding
3 authors.
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Abstract
This paper investigates drive-response synchronization for a class of neural networks with time-varying discrete and distributed delays (mixed delays) as well as discontinuous activations. Strict mathematical proof shows the global existence of Filippov solutions to neural networks with discontinuous activation functions and the mixed delays. State feedback controller and impulsive controller are designed respectively to guarantee global exponential synchronization of the neural networks. By using Lyapunov function and new analysis techniques, several new synchronization criteria are obtained. Moreover, lower bound on the convergence rate is explicitly estimated when state feedback controller is utilized. Results of this paper are new and some existing ones are extended and improved. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
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