Suppression of functional system with Markovian switching

Authors:
Lizhu Feng;Yi Shen;Zhuguo Li
Affiliations:
Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China,School of Mathematics and Computer Science, Jianghan University, Wuhan, China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China;Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, China
Venue:
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part II
Year:
2012

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Abstract

In this paper, we will investigate a class of functional system whose coefficient satisfies the local Lipschitz condition and the one-sided polynomial growth condition under Markovian switching. We introduce two appropriate intensity Brownian noise to perturb the system so as to suppress its potential explosion.