Existence and Stability of Almost Periodic Solution for a Stochastic Cellular Neural Network with External Perturbation

A class of stochastic cellular neural networks with external perturbation is investigated. By employing fixed points principle and some stochastic analysis techniques, we establish some sufficient conditions for existence and exponential stability of a quadratic mean almost periodic solution of the model. The new criteria not only improve some classical results but also are applied in real problems due to the changes of external input.

[1]  W. Marsden I and J , 2012 .

[2]  Peng Wang,et al.  Global exponential stability of almost periodic solution of delayed neural networks with discontinuous activations , 2013, Inf. Sci..

[3]  Qigui Yang,et al.  On almost periodic mild solutions for stochastic functional differential equations , 2012 .

[4]  Wei Ding Synchronization of delayed fuzzy cellular neural networks with impulsive effects , 2009 .

[5]  Hui Zhou,et al.  Mean-square almost periodic solution for impulsive stochastic Nicholson's blowflies model with delays , 2013, Appl. Math. Comput..

[6]  Ravi P. Agarwal,et al.  Fixed points and exponential stability for a stochastic neutral cellular neural network , 2013, Appl. Math. Lett..

[7]  Zaitang Huang,et al.  Existence and exponential stability of almost periodic solution for stochastic cellular neural networks with delay , 2009 .

[8]  Sabri Arik,et al.  An analysis of global asymptotic stability of delayed cellular neural networks , 2002, IEEE Trans. Neural Networks.

[9]  Jinde Cao,et al.  Existence and attractivity of almost periodic solutions for cellular neural networks with distributed delays and variable coefficients , 2003, Appl. Math. Comput..

[10]  Zhidong Teng,et al.  Boundedness, periodic solutions and global stability for cellular neural networks with variable coefficients and infinite delays , 2009, Neurocomputing.

[11]  J. Koenderink Q… , 2014, Les noms officiels des communes de Wallonie, de Bruxelles-Capitale et de la communaute germanophone.

[12]  Toka Diagana,et al.  Existence of almost periodic solutions to some stochastic differential equations , 2007 .

[13]  A. Fink Almost Periodic Differential Equations , 1974 .

[14]  Chuanyi Zhang Pseudo Almost Periodic Solutions of Some Differential Equations, II , 1994 .

[15]  Zhenkun Huang,et al.  New results on exponential attractivity of multiple almost periodic solutions of cellular neural networks with time-varying delays , 2010, Math. Comput. Model..

[16]  Qiang Zhang,et al.  Global exponential stability for nonautonomous cellular neural networks with delays , 2006 .