Robust Boundary Intermittent Stabilization of Fractional-Order Memristive Cohen–Grossberg Neural Networks

This paper addresses the stabilization problem for a class of fractional-order memristive reaction–diffusion Cohen–Grossberg neural networks with time-varying delays under an intermittent boundary control framework. Two scenarios are considered: systems without parametric uncertainties, for which asymptotic stability is established, and systems with uncertainties, for which robust asymptotic stability is ensured. By constructing appropriate Lyapunov functionals and employing Wirtinger-type inequalities, the fractional Razumikhin approach, and key properties of the Mittag–Leffler function, sufficient stability conditions are derived in terms of linear matrix inequalities with reduced conservatism. Furthermore, the effects of time-varying delays and control activation intervals on the stabilization performance are systematically investigated. The effectiveness and advantages of the proposed control methodology are validated through numerical simulations.

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Publication Details

Journal
Fractal and Fractional
Published
2026-03-22
DOI
https://doi.org/10.3390/fractalfract10030206
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
0.00
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article

Robust Boundary Intermittent Stabilization of Fractional-Order Memristive Cohen–Grossberg Neural Networks

Srinivasan R, Mohamed Rhaima, Saravanan Shanmugam, Muniyappan Madhu
Fractal and Fractional
Neural Networks Stability and Synchronization
article

Robust Boundary Intermittent Stabilization of Fractional-Order Memristive Cohen–Grossberg Neural Networks

Srinivasan R, Mohamed Rhaima, Saravanan Shanmugam, Muniyappan Madhu
article en

Abstract

This paper addresses the stabilization problem for a class of fractional-order memristive reaction–diffusion Cohen–Grossberg neural networks with time-varying delays under an intermittent boundary control framework. Two scenarios are considered: systems without parametric uncertainties, for which asymptotic stability is established, and systems with uncertainties, for which robust asymptotic stability is ensured. By constructing appropriate Lyapunov functionals and employing Wirtinger-type inequalities, the fractional Razumikhin approach, and key properties of the Mittag–Leffler function, sufficient stability conditions are derived in terms of linear matrix inequalities with reduced conservatism. Furthermore, the effects of time-varying delays and control activation intervals on the stabilization performance are systematically investigated. The effectiveness and advantages of the proposed control methodology are validated through numerical simulations.

Fractal and FractionalVol. 10(3)
SRM Institute of Science and Technology (IN), King Saud University (SA), SRM Dental College (IN)
Openalex Percentile: Top 11%
Neural Networks Stability and Synchronization
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