Finite-time synchronization of inertial memristive neural networks with time delay via delay-dependent control

This paper is concerned with the finite-time synchronization problem of drive-response inertial memristive neural networks with time delay. First, by choosing suitable variable substitution, the original system can be transformed into the first order differential equations. Next, a delay-dependent controller is designed to ensure that finite-time synchronization can be achieved between drive system and response system based on finite time stability theory. Moreover, the settling time is estimated, and optimized based on the relationship between the settling time and parameter η. Finally, an example is presented to substantiate the effectiveness for those theoretical results.