Attractor and Stochastic Boundedness for Stochastic Infinite Delay Neural Networks with Markovian Switching

作者：Li Dingshi^*; Ma Chao

来源：Neural Processing Letters, 2014, 40(2): 127-142.

DOI：10.1007/s11063-013-9314-9

• Attractor
• Boundedness
• Stochastic
• Switching
• Infinite delay
• Neural networks

First, we establish the stochastic LaSalle theorem for stochastic infinite delay differential equations with Markovian switching, from which some criterias on attraction are obtained. Then, by employing Lyapunov method and LaSalle-type theorem established above, we obtain some sufficient conditions ensuring the attractor and stochastic boundedness for stochastic infinite delay neural networks with Markovian switching. Finally, an example is also discussed to illustrate the efficiency of the obtained results.

• 出版日期2014-10
• 单位西南交通大学