https://doi.org/10.1140/epjp/s13360-024-05695-x
Regular Article
Synchronization of Markov jump neural networks with two delay components via Affine transformed sampled-data control with actuator saturation
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632014, Vellore, Tamilnadu, India
Received:
19
June
2024
Accepted:
29
September
2024
Published online:
21
October
2024
In this paper, in contrast to the existing findings the synchronization criteria for chaotic neural networks (CNNs) with sampled data control is analysed by a new integral inequality. The proposed method incorporates a parameterized controller that depends on the activation function and includes actuator saturation in addition to Markovian jump CNNs (MJCNNs) and additive time varying delay. The reformulated approach considers the constraints on the activation function parameters using weighting functions. Additionally, the controller gain matrices are combined using weighted functions that undergo affine transformations. The construction of Lyapunov–Krasovskii functionals (LKFs) lead to the establishment of two augmented terms, which facilitate the interaction among the state vectors with upper bounds of additive time delay. Benefitting from the modified free matrix-based integral inequalities addressed in Lemmas 1 and 2 provide the sufficient conditions for the affine transformed controller of the MJCNNs error system in the form of linear matrix inequalities (LMIs). Further, simulation examples are provided to demonstrate the effectiveness and superiority of the affine transformed control approach.
Contribution to the Focus Point on “Mathematics and Physics at the Quantum-Classical Interface” edited by D.I. Bondar, I. Joseph, G. Marmo, C. Tronci.
Copyright comment 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.
© The Author(s), under exclusive licence to Società Italiana di Fisica and 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.
