Adaptive almost surely asymptotically synchronization for stochastic delayed neural networks with Markovian switching

作者：Ding, Xiangwu; Gao, Yan^*; Zhou, Wuneng; Tong, Dongbing; Su, Hongye

来源：Advances in Difference Equations, 2013, 2013(1): 211.

DOI：10.1186/1687-1847-2013-211

• neutral networks
• adaptive almost surely asymptotically synchronization
• Markovian switching
• stochastic noise
• time-varying delays

In this paper, the problem of the adaptive almost surely asymptotically synchronization for stochastic delayed neural networks with Markovian switching is considered. By utilizing a new nonnegative function and the M-matrix approach, we derive a sufficient condition to ensure adaptive almost surely asymptotically synchronization for stochastic delayed neural networks. Some appropriate parameters analysis and update laws are found via the adaptive feedback control techniques. We also present an illustrative numerical example to demonstrate the effectiveness of the M-matrix-based synchronization condition derived in this paper.

• 出版日期2013
• 单位工业控制技术国家重点实验室; 东华大学; 浙江大学