Journal
NEUROCOMPUTING
Volume 469, Issue -, Pages 138-150Publisher
ELSEVIER
DOI: 10.1016/j.neucom.2021.10.061
Keywords
Lag projective synchronization; Fractional delayed memristive neural; networks; Sliding-mode controller
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Funding
- Key Program of National Nat-ural Science Foundation of China [62176189,61673187, 62106181]
- Hubei Province Key Laboratory of Systems Science in Metallurgical Process (Wuhan University of Science and Technology) [Y202002]
- Scientific Research Fund of Wuhan Institute of Technology [K201908, K202017]
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This paper investigates lag projective synchronization of nonidentical fractional delayed memristive neural networks, proposing a novel controller and obtaining sufficient criteria for synchronization. The results improve and enrich previous synchronization works in this area. The conclusions are validated through a simulation example.
In this paper, lag projective synchronization of nonidentical fractional delayed memristive neural networks (NFDMNN) is investigated. Due to the existence of memristor, the analysis is based on the theory of differential equations with discontinuous right-hand side proposed by Filippov. A novel controller with fractional integral sliding-mode surface is devised firstly. Successively, some sufficient criteria ensuring lag projective synchronization of NFDMNN are obtained, depending on the fractional calculus inequalities and Lyapunov direct method. Moreover, the related results improve and enrich previous synchronization works. Lastly, the validity of conclusions is verified through a simulation example. (c) 2021 Elsevier B.V. All rights reserved.
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