Linear and Nonlinear Control for Complete Synchronization of Fractional-Order Discrete Reaction-Diffusion Systems
Abstract
This paper investigates complete synchronization (CS) of coupled fractional-order discrete reaction-diffusion systems (FO-RDs) under linear and nonlinear control strategies. We derive sufficient conditions for finite-time synchronization using Lyapunov functionals (LFs) and Caputo fractional difference operators. Theoretical results are validated through numerical simulations of the Degn-Harrison model, demonstrating that both control strategies achieve synchronization with zero error convergence. The linear controller shows faster convergence while the nonlinear controller exhibits superior robustness to initial condition variations.
Fields of Study & Subjects
Neural Networks Stability and Synchronization
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Publication details
- Journal / source
- International Journal of Analysis and Applications
- Publisher
- SCIK Publishing Corporation
- Volume
- 24
- Pages
- 26–26
- Publication date
- 29 January 2026