Adaptive Projective Synchronization of Delay Neural Networks with Unknown Parameters and Noise Perturbation

Anding Dai1, Jianguang Yang1*, Shengbing Xu2

1College of Science, Hunan City University, Yiyang, 413000, China

2City College, Dongguan University of Technology, Dongguan, 523000, China

Abstract: In this paper, we investigate the adaptive projective synchronization problem of delay neural net-works with unknown parameters and noise perturbation. An adaptive updating law for unknown parameters is designed based on the lapunov stability method. Several criteria are established to guarantee the synchronization of ｍａｓｔｅｒ and slave delay neural networks system with adaptive ｕｐｄａｔｅ parameters and stochastic noise. In the end, simulation result is given to show the effectiveness of built theory in this paper.

Keywords: adaptive projective synchronization; neural networks; time delay; noise perturbation