DocumentCode
626963
Title
Stability analysis of multiple equilibria for recurrent neural networks with time-varying delays
Author
Zhigang Zeng ; Wei Xing Zheng
Author_Institution
Dept. of Control Sci. & Eng., Huazhong Univ. of Sci. & Technol., Wuhan, China
fYear
2013
fDate
19-23 May 2013
Firstpage
2099
Lastpage
2102
Abstract
The problem of stability of multiple equilibria is studied in this paper for two kinds of recurrent neural networks with time-varying delays and activation functions symmetrical with respect to the origin on the phase plane. Some sufficient conditions are obtained to ensure that two kinds of recurrent neural networks can have (2m + 1)n equilibrium points and (m + 1)n of them are locally exponentially stable. The derived conditions are valuable extensions to the existing results on stability of multiple equilibria for recurrent neural networks with time-varying delays in the literature.
Keywords
asymptotic stability; delays; recurrent neural nets; time-varying systems; transfer functions; activation functions; exponential stability; multiple equilibria; phase plane; recurrent neural networks; stability analysis; time-varying delays; Bismuth; Cellular neural networks; Delays; Recurrent neural networks; Stability analysis; Vectors;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems (ISCAS), 2013 IEEE International Symposium on
Conference_Location
Beijing
ISSN
0271-4302
Print_ISBN
978-1-4673-5760-9
Type
conf
DOI
10.1109/ISCAS.2013.6572288
Filename
6572288
Link To Document