Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks

Hai Zhang, Miaolin Ye, Renyu Ye and Jinde Cao

Physica A: Statistical Mechanics and its Applications, 2018, vol. 508, issue C, 155-165

Abstract: This paper focuses on discussing the synchronization stability problem of the Riemann–Liouville fractional coupled complex interconnected delayed neural networks. Several globally asymptotic stability criteria for considered network systems are established in terms of Lyapunov functional approach and linear matrix inequality technique. The relationships between the stability of fractional-order isolated neural networks and the synchronization of fractional-order coupled complex neural networks are discussed in detail. The main advantage is to avoid calculating the fractional derivative of Lyapunov functional to discuss the synchronization stability conditions. A numerical example is also performed to demonstrate the validity and feasibility of the proposed results.

Keywords: Synchronization stability; Fractional-order neural networks; Asymmetric coupling; Complex networks; Lyapunov functional (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (12)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:508:y:2018:i:c:p:155-165

DOI: 10.1016/j.physa.2018.05.060

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