Synchronization and anti-synchronization for complex-valued inertial neural networks with time-varying delays

Xiaofeng Wei, Ziye Zhang, Chong Lin and Jian Chen

Applied Mathematics and Computation, 2021, vol. 403, issue C

Abstract: In this article, synchronization and anti-synchronization problems of complex-valued inertial neural networks with time-varying delays are studied. Firstly, the complex-valued inertial neural networks model is expressed as the first-order complex-valued differential system through the method of variable substitution. Then, via constructing the appropriate Lyapunov functional and using linear matrix inequalities (LMIs) approach, some sufficient conditions to ensure the synchronization and anti-synchronization of the considered system are established. Finally, numerical examples are given to demonstrate the effectiveness of the proposed results.

Keywords: Synchronization; Anti-synchronization; Complex-valued inertial neural networks; Time-varying delays (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:403:y:2021:i:c:s0096300321002848

DOI: 10.1016/j.amc.2021.126194

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