DocumentCode
3364679
Title
Relaxed exponential stability condition for a class of uncertain time-delay neural networks
Author
Xia, Jianwei ; Meng, Guangwu
Author_Institution
Sch. of Math. Sci., Liaocheng Univ., Liaocheng, China
fYear
2009
fDate
9-12 Aug. 2009
Firstpage
860
Lastpage
865
Abstract
The global robust exponential stability of a class of uncertain neural networks with distributed delays is investigated in this paper. The uncertainties is in the form of polytopic type. The relaxed condition is obtained for the introduction of parameter-dependent Lypaunov-Krasovskii functionals and free-weighting matrices which guarantee the robust global exponential stability of the equilibrium point of the considered neural networks. The derived sufficient condition is proposed in terms of a set of relaxed linear matrix inequalities(LMIs), which can be checked easily by recently developed algorithms solving LMIs. A numerical example is given demonstrate the effectiveness of the proposed criteria.
Keywords
Lyapunov methods; asymptotic stability; delays; linear matrix inequalities; neural nets; uncertain systems; LMI; distributed delays; free weighting matrices; parameter-dependent Lypaunov-Krasovskii functionals; polytopic form; relaxed linear matrix inequalities; relaxed robust exponential stability; uncertain time-delay neural networks; Automation; Delay effects; Linear matrix inequalities; Mathematics; Mechatronics; Neural networks; Neurons; Robust stability; Stability analysis; Uncertainty; distributed delays; global robust exponential stability; neural networks; polytopic uncertainties;
fLanguage
English
Publisher
ieee
Conference_Titel
Mechatronics and Automation, 2009. ICMA 2009. International Conference on
Conference_Location
Changchun
Print_ISBN
978-1-4244-2692-8
Electronic_ISBN
978-1-4244-2693-5
Type
conf
DOI
10.1109/ICMA.2009.5246284
Filename
5246284
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