Passivity-based synchronization for Markov switched neural networks with time delays and the inertial term

Abstract The passivity-based synchronization issue of Markov switched inertial neural networks with time delays is addressed in this work. Different from many articles, the influence of inertial term on neural network is taken into account, namely, the second-order derivative of the system model is emphasized. For this issue, the second-order differential equations are processed to establish the first-order ones by means of the variable transformation. Next, under the framework of drive-response, a mode dependent feedback controller is designed to implement passive synchronization of Markov switched inertial neural networks. Meanwhile, by an optimized inequality technique and Lyapunov stability theory, some sufficient conditions are established. Ultimately, through a comparative example displayed, the effectiveness and superiority of the results derived can be fully illustrated.