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 :
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