New results of projective synchronization for memristor-based coupled neural networks

Jixin Liu, Shimin Song, Haijun Jiang, Jiarong Li and Xiaolin Liu

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: This paper studies the finite/fixed-time projective inner/outer synchronization of coupled memristor-based neural networks. An improved stability theory is proved to link finite-time and fixed-time synchronization only under the same one controller, which is more flexible and practical. Some sufficient conditions are acquired by means of Lyapunov methods, inequality techniques and designing appropriate controller to ensure finite/fixed-time projective inner/outer synchronization. The setting time of finite-time synchronization is discussed in detail and more accurate results are obtained. Some examples are presented to examine the feasibility and effectiveness of corresponding results.

Keywords: Memristor-based neural network; Finite/Fixed-time stability; Projective synchronization; Inner/Outer synchronization (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320849

DOI: 10.1016/j.physa.2019.123739

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