https://doi.org/10.1140/epjs/s11734-024-01213-3
Regular Article
Exponential function projective synchronization of delayed discrete-time neural networks under saturation-based feedback controller
Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 624 302, Dindigul, Tamil Nadu, India
Received:
27
March
2024
Accepted:
14
June
2024
Published online:
25
June
2024
In this paper, exponential function projective synchronization (FPS) is examined for discrete-time neural networks (DT-NNs) with time-varying delays under saturation-based feedback controller. Based on the inequality techniques, the linearization of the quadratic summable terms that appear in the forward difference of the Lyapunov–Krasovskii functional (LKF) is obtained. Further, to achieve less conservative results, the sufficient conditions are established in linear matrix inequalities (LMIs) with the augmented zero equations which ensure the required criteria of FPS. A numerical example is accomplished to demonstrate the efficacy of the proposed theoretical outcomes with the help of simulation results through the LMI toolbox in MATLAB software. Finally, simulation results for the complete synchronization are further verified for considered DT-NNs with the same system parameters.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
