文章基本信息

标题：Dissipative control of a three-species food chain stochastic system with a hidden Markov chain
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作者：Yonggang Ma ; Qimin Zhang ; Li Wang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2017
卷号：2017
期号：1
页码：102
DOI：10.1186/s13662-017-1160-z
语种：English
出版社：Hindawi Publishing Corporation
摘要：This paper focuses on a three-species food chain system which is formulated as stochastic differential equations with regime switching represented by a hidden Markov chain. Firstly, using the Wonham filter, we estimate the hidden Markov chain through the observable solution of the Markov chain in Gaussian white noise. Then two kinds of special dissipative control strategy are proposed to study the given model. That is, under H ∞ $H_{\infty}$ control and passive control, the sufficient conditions for global asymptotic stability are established, respectively. Finally, numerical examples are given to illustrate the effectiveness of the theoretical results.
关键词：food chain stochastic system ; hidden Markov chain ; $H_{\infty}$ control ; passive control