DocumentCode
2710888
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
fYear
2009
fDate
14-19 June 2009
Firstpage
1893
Lastpage
1899
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Neural Networks, 2009. IJCNN 2009. International Joint Conference on
Conference_Location
Atlanta, GA
ISSN
1098-7576
Print_ISBN
978-1-4244-3548-7
Electronic_ISBN
1098-7576
Type
conf
DOI
10.1109/IJCNN.2009.5178858
Filename
5178858
Link To Document