文章基本信息

标题：Robust finite-time control of descriptor Markovian jump systems with impulsive
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作者：Xiaoming Su ; Xiujie Zhao
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2019
卷号：2019
期号：1
页码：1-15
DOI：10.1186/s13662-019-2052-1
出版社：Hindawi Publishing Corporation
摘要：In this paper, we obtain sufficient conditions ensuring stability of the robust finite-time for descriptor Markovian jump systems with impulsive effects and time-varying norm-bounded disturbance, especially, when the system is in actuator saturation. Using the theory of Lyapunov functions and the concept of convex hull-based representation of saturation function. We design the state feedback controller and obtain estimation of domain of attraction, extending the results to convex optimization problems; the solvability condition of the controller can be equivalent to a feasibility problem of coupled linear matrix inequalities (LMIs). Finally, we present some numerical examples showing the effectiveness of the obtained theoretical results.
关键词：Descriptor Markovian jump systems ; Actuator saturation ; Finite-time control ; Impulsive systems