Robust H ? -Control for Uncertain Stochastic Systems with Impulsive Effects

Zhezhe Xin, Chunjie Xiao, Ting Hou and Xiao Shen
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Zhezhe Xin: The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Chunjie Xiao: The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Ting Hou: The College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Xiao Shen: The College of Mechanical and Electronic Engineering, Shandong University of Science and Technology, Qingdao 266590, China

Mathematics, 2019, vol. 7, issue 12, 1-12

Abstract: Robust stabilization and H ∞ controller design for uncertain systems with impulsive and stochastic effects have been deeply discussed. Some sufficient conditions for the considered system to be robustly stable are derived in terms of linear matrix inequalities (LMIs). In addition, an example with simulations is given to better demonstrate the usefulness of the proposed H ∞ controller design method.

Keywords: impulsive stochastic systems; uncertain; H ? -control; robustly stochastically stable (RSS) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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