Title :
Absolute exponential stability analysis of recurrent neural networks with generalized activation function: An LMI approach
Author_Institution :
Sch. of Inf. Technol., Jiangxi Univ. of Finance & Econ., Nanchang, China
Abstract :
This paper is devoted to study the absolute exponential stability of recurrent neural network with novel generalized activation function, which is recently proposed in my previous paper. By integrating Lyapunov stability theory and LMI approach, the stability criterion is derived, which is in form of LMI with slack variables. It may enlarge the range in selecting neural networks¿ parameters. Moreover, the stability criteria become less conservative than my previous paper.
Keywords :
Lyapunov methods; asymptotic stability; linear matrix inequalities; recurrent neural nets; stability criteria; LMI approach; Lyapunov stability theory; absolute exponential stability analysis; generalized activation function; linear matrix inequalities; recurrent neural networks; stability criterion; Intelligent networks; Intelligent systems; Knowledge engineering; Linear matrix inequalities; Lyapunov method; Neural networks; Piecewise linear techniques; Recurrent neural networks; Stability analysis; Stability criteria; Absolute exponential stability; Linear Matrix Inequality; Recurrent neural networks;
Conference_Titel :
Intelligent System and Knowledge Engineering, 2008. ISKE 2008. 3rd International Conference on
Conference_Location :
Xiamen
Print_ISBN :
978-1-4244-2196-1
Electronic_ISBN :
978-1-4244-2197-8
DOI :
10.1109/ISKE.2008.4731046