This paper investigates the problem of the finite-time synchronization of a class of coupled memristorbased recurrent neural networks (MRNNs) with time delays. Based on the drive-response concept and differentialinclusions theory, several sufficient assumptions are given to ensure the finite-time synchronization of MRNNs. In order to realize the finite-time synchronization between the drive system and the response system, we designthree classes of novel control rules such as static state controller, static output controller, dynamic state controller. Using the theory of differential inclusion, a generalized finite-time convergence theorem and Lyapunov method, theconditions herein are easy to be verified. Moreover, the upper bounds of the settling time of synchronization areestimated and the designed dynamic state controllers have good anti-interference capacity. Finally, two numericalexamples are presented to illustrate the effectiveness and the validity of theoretical results.
This paper investigates the problem of the finite-time synchronization of a class of coupled memristorbased recurrent neural networks (MRNNs) with time delays. Based on the drive-response concept and differentialinclusions theory, several sufficient assumptions are given to ensure the finite-time synchronization of MRNNs. In order to realize the finite-time synchronization between the drive system and the response system, we designthree classes of novel control rules such as static state controller, static output controller, dynamic state controller. Using the theory of differential inclusion, a generalized finite-time convergence theorem and Lyapunov method, theconditions herein are easy to be verified. Moreover, the upper bounds of the settling time of synchronization areestimated and the designed dynamic state controllers have good anti-interference capacity. Finally, two numericalexamples are presented to illustrate the effectiveness and the validity of theoretical results.