Title :
New Global Asymptotic Stability for Neural Networks with Time-Varying Discrete and Distributed Delays
Author :
Chen, Yonggang ; Guo, Yunrui ; Wu, Liang
Author_Institution :
Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang
Abstract :
In this paper, the global asymptotic stability problem is considered for a class of neural networks with time-varying discrete and distributed delays. Based on the Lyapunov functional method, and by using the new technique for estimating the upper bound of the derivative of Lyapunov functional, the novel asymptotic stability criterion is derived in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to show the less conservativeness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delay systems; discrete time systems; linear matrix inequalities; neural nets; time-varying systems; Lyapunov functional method; distributed delay; global asymptotic stability; linear matrix inequalities; neural network; time-varying discrete delay; Asymptotic stability; Delay estimation; Electronic mail; Linear matrix inequalities; Mathematics; Neural networks; Neurons; Stability analysis; Symmetric matrices; Upper bound;
Conference_Titel :
Innovative Computing Information and Control, 2008. ICICIC '08. 3rd International Conference on
Conference_Location :
Dalian, Liaoning
Print_ISBN :
978-0-7695-3161-8
Electronic_ISBN :
978-0-7695-3161-8
DOI :
10.1109/ICICIC.2008.385
