Pseudo Almost Periodic Solutions for High-Order Hopfield Neural Networks with Time-Varying Leakage Delays
作者： Changjin Xu , Peiluan Li
DOI: 10.1007/S11063-016-9573-3
关键词: Complex system 、 Computational intelligence 、 Hopfield network 、 Exponential stability 、 Mathematics 、 Control theory 、 Lyapunov functional 、 Artificial neural network 、 Leakage (electronics) 、 Applied mathematics 、 Set (abstract data type)
摘要: In this paper, high-order Hopfield neural networks with time-varying leakage delays are investigated. By applying Lyapunov functional method and differential inequality techniques, a set of sufficient conditions obtained for the existence exponential stability pseudo almost periodic solutions model. Some simulations carried out to support theoretical findings. Our results improve generalize those previous studies.
springer.com
sci-hub.se 参考文章(58)
Fuxing Zhang, Ya Li, ALMOST PERIODIC SOLUTIONS FOR HIGHER-ORDER HOPFIELD NEURAL NETWORKS WITHOUT BOUNDED ACTIVATION FUNCTIONS ,(2007)
A M Samoilenko, N A Perestyuk, Impulsive differential equations ,(1995)
Zhang Chuanyi, Almost Periodic Type Functions and Ergodicity ,(2003)
Changjin Xu, Qiming Zhang, Yusen Wu, Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays. Network: Computation In Neural Systems. ,vol. 25, pp. 168- 192 ,(2014) , 10.3109/0954898X.2014.978406
Qi Wang, Yayun Fang, Hui Li, Lijuan Su, Binxiang Dai, Anti-periodic solutions for high-order Hopfield neural networks with impulses Neurocomputing. ,vol. 138, pp. 339- 346 ,(2014) , 10.1016/J.NEUCOM.2014.01.028
Bingwen Liu, Lihong Huang, Existence and exponential stability of periodic solutions for a class of Cohen–Grossberg neural networks with time-varying delays Chaos, Solitons & Fractals. ,vol. 32, pp. 617- 627 ,(2007) , 10.1016/J.CHAOS.2005.11.009
Peilin Shi, Lingzhen Dong, Existence and exponential stability of anti-periodic solutions of Hopfield neural networks with impulses Applied Mathematics and Computation. ,vol. 216, pp. 623- 630 ,(2010) , 10.1016/J.AMC.2010.01.095
Claudio Cuevas, Alex Sepúlveda, Herme Soto, Almost periodic and pseudo-almost periodic solutions to fractional differential and integro-differential equations Applied Mathematics and Computation. ,vol. 218, pp. 1735- 1745 ,(2011) , 10.1016/J.AMC.2011.06.054
Manuel Pinto, Pseudo-almost periodic solutions of neutral integral and differential equations with applications Nonlinear Analysis-theory Methods & Applications. ,vol. 72, pp. 4377- 4383 ,(2010) , 10.1016/J.NA.2009.12.042
K Gopalsamy, Stability of artificial neural networks with impulses Applied Mathematics and Computation. ,vol. 154, pp. 783- 813 ,(2004) , 10.1016/S0096-3003(03)00750-1