Synchronization of fractional-order reaction-diffusion neural networks via mixed boundary control

This article studies the synchronization issue of fractional reaction-diffusion neural net-works (FRDNNs) with time delay and mixed boundary condition . First, a novel bound-ary controller with constant-valued gain is designed, which only relies on the boundary state information. Subsequently, by virtue of Lyapunov direct technique and LMI approach, the Mittag-Leffler synchronization conditions are established. Besides, to effectively reg-ulate the control gain, a fractional-order adaptive boundary controller is developed and the adaptive synchronization of FRDNNs is rigorously analyzed. Note that, the above con-trol strategies are also workable for traditional integer-order reaction-diffusion neural net-works. The developed theoretical analysis is supported eventually via a numerical example.(c) 2023 Elsevier Inc. All rights reserved.