https://doi.org/10.1140/epjs/s11734-025-01653-5
Regular Article
Robust dissipative sliding mode control synchronization of memristive inertial competitive neural networks with time-varying delay
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, 632 014, Vellore, Tamilnadu, India
Received:
11
February
2025
Accepted:
24
April
2025
Published online:
9
May
2025
This paper investigates the dissipative synchronization conditions of inertial memristor-based delayed competitive neural networks through an adaptive sliding mode control approach. In the process of converting second-order neural networks into first-order differential equations, factors, such as external disturbances, time-varying delays, and parameter uncertainties, are considered. By addressing these factors, the study focuses on improving the model by introducing delay product concepts that generate additional delay convexity information. This leads to the development of a robust Lyapunov–Krasovskii functional with double and quadruple integral terms. A novel synchronization criterion based on linear matrix inequalities is established using the generalized delay-dependent reciprocal convex inequality as well as to guarantee the dissipative sliding mode dynamics. The global asymptotic stability of the error model ensures synchronization between the uncontrolled and controlled models. Furthermore, an accessibility analysis of a predetermined switching surface, and the design of an adaptive sliding mode control rule are presented. Numerical simulations, performed with a set of nominal parameters, validate the efficacy of the proposed theoretical framework and demonstrating the superiority of the results.
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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.
