Title :
Existence and Global Attractivity of Almost Periodic Solution of Hopfield Neural Networks with Time Delays
Author_Institution :
Dept. of Math. & Phys., Shandong Jiaotong Univ., Jinan, China
Abstract :
In this paper, we investigate a class of variable coefficient neural networks with time delays. By means of exponential trichotomy, the Schauder fixed point theorem and the Grown wall inequality, we derive the sufficient conditions for the existence, the uniqueness and the global attractivity of the almost periodic solution. We also obtain this almost periodic solution is also its unique bounded solution.
Keywords :
Hopfield neural nets; delays; Grown wall inequality; Hopfield neural networks; Schauder fixed point theorem; almost periodic solution; exponential trichotomy; global attractivity; time delays; variable coefficient neural networks; Couplings; Delay effects; Hopfield neural networks; Linear systems; Sufficient conditions; Vectors; Grownwall inequality; Time delay; almost periodic solution; exponential dichotomy; neural networks;
Conference_Titel :
Computational Intelligence and Security (CIS), 2011 Seventh International Conference on
Conference_Location :
Hainan
Print_ISBN :
978-1-4577-2008-6
DOI :
10.1109/CIS.2011.89
