DocumentCode
2776822
Title
Global exponential stability analysis for recurrent neural networks with time-varying delay
Author
Guo, Xiaoli ; Li, Qingbo ; Chen, Yonggang ; Wu, Yuanyuan
Author_Institution
Dept. of Math. & Inf. Sci., Zhengzhou Univ. of Light Ind., Zhengzhou, China
fYear
2009
fDate
17-19 June 2009
Firstpage
2976
Lastpage
2980
Abstract
This letter deals with the exponential stability problem for static recurrent neural networks (RNNs) with time varying delay. By Lyapunov functional method and linear matrix inequality technique, some novel delay dependent criteria are established to ensure the exponential stability of the considered neural network. The proposed exponential stability criteria are expressed in terms of linear matrix inequalities, and can be checked using the recently developed algorithms. A numerical example is given to show that the obtained criteria can provide less conservative results than some existing ones.
Keywords
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; recurrent neural nets; time-varying systems; Lyapunov functional method; RNN; delay dependent criteria; exponential stability problem; global exponential stability analysis; linear matrix inequality technique; recurrent neural network; time varying delay; Delay; Linear matrix inequalities; Mathematics; Neural networks; Neurons; Recurrent neural networks; Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Global exponential stability; Linear matrix inequalities (LMIs); Static neural networks; Time-varying delay;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference, 2009. CCDC '09. Chinese
Conference_Location
Guilin
Print_ISBN
978-1-4244-2722-2
Electronic_ISBN
978-1-4244-2723-9
Type
conf
DOI
10.1109/CCDC.2009.5191612
Filename
5191612
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