文章基本信息

标题：Switching Controller Design for a Class of Markovian Jump Nonlinear Systems Using Stochastic Small-Gain Theorem
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作者：Jin Zhu ; Junhong Park ; Kwan-Soo Lee 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：2009
卷号：2009
期号：1
页码：1-23
DOI：10.1155/2009/896218
语种：English
出版社：Hindawi Publishing Corporation
摘要：Switching controller design for a class of Markovian jump nonlinear systems with unmodeled dynamics is considered in this paper. Based on the differential equation and infinitesimal generator of jump systems, the concept of Jump Input-to-State practical Stability (JISpS) in probability and stochastic Lyapunov stability criterion are put forward. By using backsetpping technology and stochastic small-gain theorem, a switching controller is proposed which ensures JISpS in probability for the jump nonlinear system. A simulation example illustrates the validity of this design.
关键词：Infinitesimal Generator;Markovian Jump;Unmodeled Dynamic;Markovian Jump System;Switching Controller