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
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;
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
DOI :
10.1109/CCDC.2009.5191612