Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays.
In this paper, we study cellular neural networks with almost periodic variable coefficients and time-varying delays. By using the existence theorem of almost periodic solution for general functional differential equations, introducing many real parameters and applying the Lyapunov functional method and the technique of Young inequality, we obtain some sufficient conditions to ensure the existence, uniqueness, and global exponential stability of almost periodic solution. The results obtained in this paper are new, useful, and extend and improve the existing ones in previous literature.
Jiang
Haijun
H
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, People's Republic of China. jianghai@xju.edu.cn
Zhang
Long
L
Teng
Zhidong
Z
D000465:Algorithms; D003198:Computer Simulation; D015233:Models, Statistical; D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics; D010507:Periodicity; D012815:Signal Processing, Computer-Assisted; D013997:Time Factors