Synchronization of cohen-grossberg fuzzy cellular neural networks with time-varying delays

Manikandan, Munia Samy and Ratnavelu, Kurunathan and Balasubramaniam, Pagavathigounder and Ong, Seng Huat (2021) Synchronization of cohen-grossberg fuzzy cellular neural networks with time-varying delays. International Journal of Nonlinear Sciences and Numerical Simulation, 22 (1). pp. 45-58. ISSN 1565-1339, DOI

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In this paper, a class of Cohen-Grossberg fuzzy cellular neural networks (CGFCNNs) with time-varying delays are considered. Initially, the sufficient conditions are proposed to ascertain the existence and uniqueness of the solutions for the considered dynamical system via homeomorphism mapping principle. Then synchronization of the considered delayed neural networks is analyzed by utilizing the drive-response (master-slave) concept, in terms of a linear matrix inequality (LMI), the Lyapunov-Krasovskii (LK) functional, and also using some free weighting matrices. Next, this result is extended so as to establish the robust synchronization of a class of delayed CGFCNNs with polytopic uncertainty. Sufficient conditions are proposed to ascertain that the considered delayed networks are robustly synchronized by using a parameter-dependent LK functional and LMI technique. The restriction on the bounds of derivative of the time delays to be less than one is relaxed. In particular, the concept of fuzzy theory is greatly extended to study the synchronization with polytopic uncertainty which differs from previous efforts in the literature. Finally, numerical examples and simulations are provided to illustrate the effectiveness of the obtained theoretical results.

Item Type: Article
Funders: University of Malaya, Frontier Research Grant 2017 [FG037-17AFR], Fundamental Research Grant Scheme (FRGS) from Ministry of Higher Education Malaysia [FP051-2016]
Uncontrolled Keywords: Cohen-Grossberg fuzzy cellular neural networks; Linear matrix inequalities; Polytopic uncertainty; Synchronization; Time-varying delays
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
T Technology > TA Engineering (General). Civil engineering (General)
T Technology > TJ Mechanical engineering and machinery
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 13 Apr 2022 03:59
Last Modified: 13 Apr 2022 04:14

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