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Non-chattering quantized control for synchronization in finite–fixed time of delayed Cohen–Grossberg-type fuzzy neural networks with discontinuous activation

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Abstract

This paper investigates the controller design problem of synchronization in finite-\(\setminus \)fixed-time of a class Cohen–Grossberg-type fuzzy neural networks (CGFNNs) with discontinuous activation function and time-varying delays. By using the Lyapunov theory and differential inclusion theory, FT synchronization condition for CGF-NNs and the upper bound of the settling time for synchronization are obtained. Moreover, the settling time of FXT synchronization, that does not depend upon the initial values, is merely calculated. A novel criterion for guaranteeing the FXT synchronization of CGFNNs is derived. Our control schema achieves system synchronization within bounded time and has an advantage in convergence rate. Numerical simulations are provided to illustrate the efficaciousness of the ideal analysis.

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  1. Research Units of Mathematics and Applications UR13ES47, Department of Mathematics, Faculty of Sciences of Bizerta, University of Carthage, 7021, Zarzouna, Bizerta, Tunisia

    Chaouki Aouiti & Mayssa Bessifi

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  1. Chaouki Aouiti
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Bessifi, M. Non-chattering quantized control for synchronization in finite–fixed time of delayed Cohen–Grossberg-type fuzzy neural networks with discontinuous activation. Neural Comput & Applic 33, 16557–16576 (2021). https://doi.org/10.1007/s00521-021-06253-7

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