Title :
New Global Asymptotic Stability Criteria for Neural Networks with Discrete and Distributed Delays
Author :
Zhou, Jianping ; Wang, Zhen ; Shen, Hao ; Yan, Zhilian
Author_Institution :
Sch. of Comput. Sci., Anhui Univ. of Technol., Ma´´anshan, China
Abstract :
This paper deals with the problem of stability analysis for neural networks with discrete and distributed delays. By constructing new Lyapunov-Krasovskii functionals, two criteria for the existence of a unique equilibrium point and its global asymptotic stability of the neural networks are developed in terms of linear matrix inequalities. Numerical examples are provided to illustrate the effectiveness of the proposed results.
Keywords :
Lyapunov matrix equations; asymptotic stability; delays; linear matrix inequalities; neural nets; Lyapunov Krasovskii functionals; asymptotic stability; discrete delays; distributed delays; linear matrix inequalities; neural networks; stability analysis; Asymptotic stability; Delay; Educational institutions; Neural networks; Numerical stability; Stability criteria; delay; neural networks; stability;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2012 Fifth International Conference on
Conference_Location :
Zhangjiajie, Hunan
Print_ISBN :
978-1-4673-0470-2
DOI :
10.1109/ICICTA.2012.64
