Finite-time stochastic contractive boundedness of Markovian jump systems subject to input constraints

被引：37
作者：
Cheng, Jun [1 ]
Xiang, Huili [1 ]
Wang, Hailing [1 ]
Liu, Zhijun [1 ]
Hou, Liyuan [2 ]
机构：
[1] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Hubei, Peoples R China
[2] Leshan Normal Univ, Coll Math & Informat Sci, Leshan 614004, Peoples R China
来源：
ISA TRANSACTIONS | 2016年 / 60卷
关键词：
Continuous time; Finite-time stochastic contractive boundedness; Linear matrix inequality; Lyapunov-Krasovskii function; H-INFINITY CONTROL; NEURAL-NETWORKS; STATE ESTIMATION; LINEAR-SYSTEMS; DELAY SYSTEMS; DISCRETE; ROBUST; STABILITY; STABILIZATION; DESIGN;
D O I：
10.1016/j.isatra.2015.10.021
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies the finite-time stochastic contractive boundedness problem for a class of Markovian jump linear systems subject to input constraints. First of all, by employing exogenous disturbance, two novel concepts, namely finite-time stochastic contractive stability (FTSCS) and finite-time stochastic contractive boundedness (FTSCB) are introduced. Secondly, a relaxation scheme for incomplete (i.e., partly known, unknown, and uncertain) transition probability descriptions is introduced. Then, two kinds of design methodology of observer-based controllers are proposed. All the design conditions are established by employing a set of linear matrix inequalities (LMIs). At last, numerical examples are given to demonstrate the effectiveness of the proposed approach. (C) 2015 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：74 / 81
页数：8
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