Finite-Time Guaranteed Cost Control for Markovian Jump Systems with Time-Varying Delays

被引：7
作者：
Liu, Xikui [1 ]
Li, Wencong [1 ]
Yao, Chenxin [1 ]
Li, Yan [2 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, Dept Fundamental Courses, Jinan 250031, Peoples R China
来源：
MATHEMATICS | 2022年 / 10卷 / 12期
基金：
中国国家自然科学基金;
关键词：
finite-time stability; guaranteed cost control; Markovian jump system; time-varying delay; STOCHASTIC-SYSTEMS; H-INDEX; STABILITY; STABILIZATION; UNCERTAINTIES; SUBJECT; FAULT;
D O I：
10.3390/math10122028
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the finite-time guaranteed cost control (FTGCC) problem is addressed for Ito Markovian jump systems with time-varying delays. The aim of this paper is to design a state feedback guaranteed cost controller, such that not only the resulting closed-loop systems are finite-time stable, but also cost performance has a minimum upper bound. First, new sufficient conditions for the existence of guaranteed cost controllers are presented via the linear matrix inequality (LMI) approach. Then, based on the established conditions, the desired controllers are designed and the upper bound of cost performance is provided. In the end, an example is employed to show the validity of the obtained results.
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页数：12
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