Title :
Existence and global exponential stability of almost periodic solution for cellular neural networks with variable coefficients and time-varying delays
Author :
Jiang, Haijun ; Zhang, Long ; Teng, Zhidong
Author_Institution :
Coll. of Math. & Syst. Sci., Xinjiang Univ., Urumqi, China
Abstract :
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.
Keywords :
Lyapunov methods; cellular neural nets; delay systems; differential equations; functional equations; nonlinear equations; nonlinear functions; numerical stability; time-varying systems; CNN; Lyapunov functional method; Young inequality; cellular neural network; existence exponential stability; functional differential equations; global exponential stability; hull equation; hull function; periodic solution; time-varying delay; variable coefficient; Asymptotic stability; Cellular networks; Cellular neural networks; Differential equations; Helium; Lyapunov method; Magnesium compounds; Neural networks; Stability analysis; Sufficient conditions; Almost periodic solution; cellular neural networks (CNNs); global exponential stability; hull equation; hull function; time-varying delays; variable coefficient; young inequality; Algorithms; Computer Simulation; Models, Statistical; Neural Networks (Computer); Nonlinear Dynamics; Periodicity; Signal Processing, Computer-Assisted; Time Factors;
Journal_Title :
Neural Networks, IEEE Transactions on
DOI :
10.1109/TNN.2005.857951