Infinite Markov jump-bounded real lemma

被引：22
作者：
Todorov, Marcos G. [1 ]
Fragoso, Marcelo D. [1 ]
机构：
[1] LNCC MCT, Dept Syst & Control, Lab Nacl Comp Cient, BR-25651075 Petropolis, RJ, Brazil
来源：
SYSTEMS & CONTROL LETTERS | 2008年 / 57卷 / 01期
基金：
巴西圣保罗研究基金会;
关键词：
bounded real lemma; stochastic stability; continuous-time linear system; Markovian jump system;
D O I：
10.1016/j.sysconle.2007.06.016
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A bounded real lemma is established, providing an equivalent condition to stochastic stability (SS) of a continuous-time infinite Markovian jump linear system (MJLS) with a prescribed L-2-stochastic disturbance attenuation level gamma in terms of existence of solutions to an infinite set of coupled linear matrix inequalities (LMIs). Besides the interest in its own right, the main result provides a fundamental tool for the development of an H-infinity-like theory devoted to this class of systems. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：64 / 70
页数：7
相关论文
共 50 条
  • [21] An Equivalent LMI Representation of Bounded Real Lemma for Continuous-Time Systems
    Wei Xie
    Journal of Inequalities and Applications, 2008
  • [22] A new bounded real lemma for discrete-time linear descriptor systems
    Wu, Jenq-Lang
    Yung, Chee-Fai
    Liu, Wei-Ting
    ASIAN JOURNAL OF CONTROL, 2024, 26 (02) : 1068 - 1076
  • [23] Bounded Real Lemma for Structured Noncommutative Multidimensional Linear Systems and Robust Control
    Joseph A. Ball
    Gilbert Groenewald
    Tanit Malakorn
    Multidimensional Systems and Signal Processing, 2006, 17 : 119 - 150
  • [24] Bounded real lemma for structured noncommutative multidimensional linear systems and robust control
    Ball, JA
    Groenewald, G
    Malakorn, T
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2006, 17 (2-3) : 119 - 150
  • [25] STANDARD VERSUS STRICT BOUNDED REAL LEMMA WITH INFINITE-DIMENSIONAL STATE SPACE. I. THE STATE-SPACE-SIMILARITY APPROACH
    Ball, Joseph A.
    Groenewald, Gilbert J.
    Ter Horst, Sanne
    JOURNAL OF OPERATOR THEORY, 2018, 80 (01) : 225 - 253
  • [26] Maximal solution to algebraic Riccati equations linked to infinite Markov jump linear systems
    Baczynski, Jack
    Fragoso, Marcelo D.
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2008, 20 (02) : 157 - 172
  • [27] Maximal solution to algebraic Riccati equations linked to infinite Markov jump linear systems
    Jack Baczynski
    Marcelo D. Fragoso
    Mathematics of Control, Signals, and Systems, 2008, 20 : 157 - 172
  • [28] Lyapunov coupled equations for continuous-time infinite Markov jump linear systems
    Fragoso, MD
    Baczynski, J
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 274 (01) : 319 - 335
  • [29] DELAY-RANGE-DEPENDENT BOUNDED REAL LEMMA FOR TIME-DELAY SYSTEMS
    Li, Tao
    Guo, Lei
    Lin, Chong
    Zhang, Yuming
    ASIAN JOURNAL OF CONTROL, 2008, 10 (06) : 708 - 717
  • [30] A reduced-order H∞ deconvolution filter design using bounded real lemma
    Rho, Hian
    Hsu, Chin S.
    Kim, Hansil
    SIGNAL PROCESSING, 2006, 86 (07) : 1688 - 1703
12345