Title :
New robust asymptotic stability for uncertain neural networks with time-varying discrete and distributed delays
Author :
Yonggang, Chen ; Weiping, Bi
Author_Institution :
Dept. of Math., Henan Inst. of Sci. & Technol., Xinxiang
Abstract :
This paper considers the robust asymptotic stability problem of uncertain neural networks with time-varying discrete and distributed delays. By using Lyapunov functional method and by noticing that the useful terms are reserved when estimating the upper bound of the derivative of Lyapunov functional, the novel stability and robust stability criteria are established in terms of linear matrix inequalities (LMIs). Two numerical examples are presented to illustrate the effectiveness and the less conservativeness of the proposed method.
Keywords :
Lyapunov methods; asymptotic stability; delays; discrete time systems; linear matrix inequalities; neural nets; robust control; stability criteria; time-varying systems; uncertain systems; LMI; Lyapunov functional method; distributed delays; linear matrix inequalities; robust asymptotic stability; time-varying discrete delays; uncertain neural networks; Asymptotic stability; Delay lines; Linear matrix inequalities; Mathematics; Neural networks; Robust stability; Stability analysis; Stability criteria; Symmetric matrices; Upper bound; Discrete delay; Distributed delay; Linear matrix inequality (LMI); Neural networks; Stability;
Conference_Titel :
Control Conference, 2008. CCC 2008. 27th Chinese
Conference_Location :
Kunming
Print_ISBN :
978-7-900719-70-6
Electronic_ISBN :
978-7-900719-70-6
DOI :
10.1109/CHICC.2008.4605347