title: Synchronization and adaptive control of an array of linearly coupled reaction-diffusion neural networks with hybrid coupling.
abstract: In this paper, we propose a general array model of coupled reaction-diffusion neural networks with hybrid coupling, which is composed of spatial diffusion coupling and state coupling. By utilizing the Lyapunov functional method combined with the inequality techniques, a sufficient condition is given to ensure that the proposed network model is synchronized. In addition, when the external disturbances appear in the network, a criterion is obtained to guarantee the H∞ synchronization of the network. Moreover, some adaptive strategies to tune the coupling strengths among network nodes are designed for reaching synchronization and H∞ synchronization. Some criteria for synchronization and H∞ synchronization are derived by using the designed adaptive laws. Numerical simulations are presented finally to demonstrate the effectiveness of the obtained theoretical results.
authors.forename: Jin-Liang
authors.initials: JL
authors.lastname: Wang
authors.forename: Huai-Ning
authors.initials: HN
authors.lastname: Wu
mesh_terms: D000465:Algorithms; D008959:Models, Neurological; D016571:Neural Networks, Computer