Master-slave synchronization for uncertain Markov jump neural networks with time-delay based on the sliding mode control

Abstract

This paper investigated the master-slave synchronization for uncertain neural networks with time-delay by using the sliding mode control method. The uncertain parts in this neural network only needs to be bounded other than any structure condition. An integral sliding mode surface and sliding mode controller were designed such that the state trajectories of the neural networks could reach the sliding mode surface in finite time. Moreover, the computing method of the controller gain was proposed. Finally, a numerical example was provided to show the effectiveness of the obtained results.

Keywords

• master-slave synchronization
• neural network
• markovian jump
• sliding mode control