Title :
Novel criterions for global asymptotic stability of static neural networks with time-varying delays
Author :
Wang, Li ; Yu, Xiaopeng
Author_Institution :
Jilin Normal Univ., Siping, China
Abstract :
In this paper, we investigate the global asymptotic stability of the static neural networks with time-varying delays. Based on the Lyapunov functional method and some free-weighting matrix, two innovative criterions are obtained, which are the significant improvement in the performance. Compared with the former references, our results are less conservative, and the conditions are expressed by linear matrix inequalities, which can be easily computed in MATLAB toolbox. Two numerical examples are provided to illustrate the effectiveness of the proposed result.
Keywords :
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; time-varying systems; Lyapunov functional method; MATLAB toolbox; free-weighting matrix; global asymptotic stability; linear matrix inequalities; static neural networks; time-varying delays; Artificial neural networks; Asymptotic stability; Circuit stability; Delay; Linear matrix inequalities; Stability criteria; Free-weighting matrix; Global asymptotic stability; Linear matrix inequalities(LMI); Lyapunov function; Neural networks; Time-varying delays;
Conference_Titel :
Control and Decision Conference (CCDC), 2011 Chinese
Conference_Location :
Mianyang
Print_ISBN :
978-1-4244-8737-0
DOI :
10.1109/CCDC.2011.5968352
