Title :
Boundedness and stability for the solutions of impulsive neural networks with time-varying delay
Author :
Lou, Xuyang ; Wang, Ruliang ; Cui, Baotong
Author_Institution :
Coll. of Commun. & Control Eng., Jiangnan Univ., Wuxi, China
Abstract :
By employing Lyapunov functions and Razumikhin techniques, we analyze the uniform boundedness and uniform asymptotic stability for a large class of impulsive neural networks with time-varying delay. Some new criteria are obtained to ensure the uniform boundedness and uniform asymptotic stability of the impulsive neural networks. The results remove the usual assumption that the activation functions fj(ldr) are of bounded, monotonous or differential character. Moreover, the time-varying delay function is not required to be differential. Therefore, the results which are easy to check and apply in practice, extend and improve the earlier publications.
Keywords :
Lyapunov methods; asymptotic stability; neural nets; transfer functions; Lyapunov function; Razumikhin technique; activation function; impulsive neural network; time varying delay function; uniform asymptotic stability; uniform boundedness; Artificial neural networks; Asymptotic stability; Delay effects; Differential equations; Frequency; Lyapunov method; Neural networks; Stability analysis; Stability criteria; Sufficient conditions;
Conference_Titel :
Neural Networks, 2009. IJCNN 2009. International Joint Conference on
Conference_Location :
Atlanta, GA
Print_ISBN :
978-1-4244-3548-7
Electronic_ISBN :
1098-7576
DOI :
10.1109/IJCNN.2009.5178858