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Global asymptotic stability of delayed fractional-order complex-valued fuzzy cellular neural networks with impulsive disturbances

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Abstract

This paper focuses on the global asymptotic stability of fractional-order complex-valued fuzzy cellular neural networks (CVFCNNs) with impulse effects and time-varying delays. In this paper, the new Lyapunov–Krasovskii functional is designed to derive the global asymptotic stability criterion for the CVFCNNs by employing the fractional Barbalat’s lemma and some inequality techniques. In order to derive the existence and uniqueness for considered fractional-order systems, the contraction mapping principle is used to obtain the constraints. A numerical example is carried out to validate the efficacy of the proposed method and fractional-order derivatives.

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  1. Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, Tamil Nadu, 624 302, India

    R. Vijay Aravind & P. Balasubramaniam

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  1. R. Vijay Aravind
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  2. P. Balasubramaniam
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Aravind, R.V., Balasubramaniam, P. Global asymptotic stability of delayed fractional-order complex-valued fuzzy cellular neural networks with impulsive disturbances. J. Appl. Math. Comput. 68, 4713–4731 (2022). https://doi.org/10.1007/s12190-022-01726-x

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  • DOI: https://doi.org/10.1007/s12190-022-01726-x

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