Exponential Synchronization of Delayed Inertial Memristive Neural Networks
Xuan Liu, Jiemei Zhao, Meiru Wang, Junhui Zhou · 2020
Exponential synchronization control problem of a class of delayed inertial memristive neural networks (DIMNNs) is explored. DIMNNs can be modeled as a second-order differential equations. This second-order differential equations possess the nature of discontinuous right-hand sides. With the help of the concept of drive-response systems, the theory of differential inclusions, Lyapunov functional method and a suitable controller, the sufficient criterion is explored to make the DIMNNs is exponential synchronization. It worth noting that the synchronization analysis method of DIMNNs adopted in this paper is not the variable transformation and reduced-order method, but direct analysis method. In the end, a numerical example is given to state the validity of the derived result.