A note on “pth moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays”

Author

Huang, Chuangxia ; He, Yigang

Author_Institution

Coll. of Math. & Comput. Sci., Changsha Univ. of Sci. & Technol., Changsha

fYear

2008

fDate

12-14 Nov. 2008

Firstpage

263

Lastpage

267

Abstract

In a very recent paper, Zhu et al. [Neural Process Lett (2007)26:191-200] proposed an interesting approach to study pth moment exponential stability of stochastic Cohen-Grossberg neural networks with time-varying delays. Unfortunately, since the constructed Lyapunov function is invalid for p=2k+1, kisinN, the main results obtained are not correct for the general case. This note intends to circumvent these problems by modifying the approach proposed in Zhu et al. [Neural Process Lett (2007) 26:191-200].

Keywords

Lyapunov methods; delay systems; neural nets; stability; stochastic processes; time-varying systems; Lyapunov function; pth moment exponential stability; stochastic Cohen-Grossberg neural network; time-varying delay; Automatic control; Biological neural networks; Computer networks; Educational institutions; Mathematics; Neural networks; Paper technology; Recurrent neural networks; Stability; Stochastic processes; Stochastic; exponential stability; neural network; time delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering, Computing Science and Automatic Control, 2008. CCE 2008. 5th International Conference on

Conference_Location

Mexico City

Print_ISBN

978-1-4244-2498-6

Electronic_ISBN

978-1-4244-2499-3

Type

conf

DOI

10.1109/ICEEE.2008.4723363

Filename

4723363