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ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Email: dumitru.baleanu@gmail.com

Non-Fragile Projective Synchronization of Fractional-Order Neural Networks with Proportional and Mixed Delays via Memory-Based Sampled-Data Control

Discontinuity, Nonlinearity, and Complexity 15(3) (2026) 395--411 | DOI:10.5890/DNC.2026.09.008

G. Pavithra, S. Dharani

Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632 014, Tamil Nadu, India

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Abstract

This work delves into the non-fragile projective synchronization (PS) of fractional-order neural networks (FONNs) with proportional and mixed-delay under a memory-based sampled-data (MSD) control framework. We build an MSD controller with norm-bounded uncertainty to accomplish synchronization in the addressed FONN systems. A suitable Lyapunov–Krasovskii functional (LKF) is developed, taking sampling instants into account when mixed delays are present. To provide adequate criteria for the asymptotic stability of the synchronization error system(ES) using linear matrix inequalities (LMIs), the fractional integral inequality is employed. Numerical modeling is provided to present the benefits and applicability of the suggested procedure.

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