DocumentCode
2246742
Title
Delay-dependent robust stochastic stability of cellular neural networks with Markovian jumping parameters
Author
Zhou, Chang-Jie ; Guo, Shao-cong ; Jun-Kang Hao ; Yang, Li-yun
Author_Institution
Coll. of Sci., Hebei Univ. of Sci. & Technol., Shijiazhuang, China
Volume
5
fYear
2010
fDate
11-14 July 2010
Firstpage
2222
Lastpage
2227
Abstract
The robust stochastic stability for a class of uncertain delayed cellular neural networks (DCNNs) with discrete and distributed delays and Markovian jumping parameters is considered in this paper. By introducing some free weighting matrices and constructing a Lyapunov-Krasovskii functional and combining Leibniz-Newton formula, we get a novel robust stochastic stability criteria for DCNNs with Markovian jumping parameters. Delay-dependent criteria are proposed to guarantee the robust stochastic stability of DCNNs via LMI approach. Finally, numerical examples are given to illustrate the effectiveness of the proposed method and an improvement on some existing results in the literature.
Keywords
Lyapunov methods; Markov processes; cellular neural nets; delay systems; linear matrix inequalities; neurocontrollers; robust control; uncertain systems; DCNN; LMI approach; Leibniz-Newton formula; Lyapunov-Krasovskii functional; Markovian jumping parameter; delay-dependent robust stochastic stability; discrete delay; distributed delay; free weighting matrices; uncertain delayed cellular neural network; Artificial neural networks; Asynchronous transfer mode; Differential equations; Neurons; Nickel; Robustness; Delay-dependent; Markovian jumping parameters; cellular neural networks; discrete and distributed delays; globally asymptotically stable; linear matrix inequalities (LMIs);
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics (ICMLC), 2010 International Conference on
Conference_Location
Qingdao
Print_ISBN
978-1-4244-6526-2
Type
conf
DOI
10.1109/ICMLC.2010.5580638
Filename
5580638
Link To Document