Finite-Time H∞ Static Output Feedback Control for Ito Stochastic Markovian Jump Systems

被引：2
|
作者：
Liu, Xikui [1 ,2 ]
Teng, Yapeng [1 ]
Li, Yan [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Qufu Normal Univ, Sch Comp Sci, Rizhao 276826, Peoples R China
来源：
MATHEMATICS | 2020年 / 8卷 / 10期
基金：
中国国家自然科学基金;
关键词：
finite-time; static output feedback; markovian jump; stochastic system; LINEAR-SYSTEMS; STABILIZATION; STABILITY;
D O I：
10.3390/math8101709
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper focuses on the problem of finite-time H infinity static output feedback control for Ito stochastic systems with Markovian jumps (MJs). First of all, by introducing a new state vector and a novel signal, several sufficient conditions for the existence of static output feedback controllers are established for the considered systems with completely known transition rates (CKTRs) and partially known transition rates (PKTRs), respectively. Then the static output feedback controllers are designed via solving linear matrix inequalities (LMIs), which ensure the closed-loop systems are stochastic H infinity finite-time boundedness. The validity of the developed method was demonstrated through two examples.
引用
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页码：1 / 16
页数：16
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