Stability of higher-order discrete-time Lur'e systems

被引：7
作者：
Sarkans, E. [1 ]
Logemann, H. [1 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 506卷
基金：
英国工程与自然科学研究理事会;
关键词：
Absolute stability; ARMA models; Circle criterion; Complexified Aizerman conjecture; Global asymptotic stability; Input-to-output stability; Input-output systems; Lur'e systems; Polynomial matrices; Stability in the large; TO-STATE STABILITY; SMALL-GAIN; INPUT; THEOREMS; CIRCLE; OUTPUT;
D O I：
10.1016/j.laa.2016.05.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider discrete-time Lur'e systems obtained by applying nonlinear feedback to a system of higher-order difference equations (ARMA models). The ARMA model relates the inputs and outputs of the linear system and does not involve any internal or state variables. A stability theory subsuming results of circle criterion type is developed, including criteria for input-to-output stability, a concept which is very much reminiscent of input-to-state stability. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：183 / 211
页数：29
相关论文
共 41 条
  • [1] [Anonymous], 1991, Modern signals and systems
  • [2] [Anonymous], 2008, Nonlinear dynamical systems and control: A Lyapunov-based approach
  • [3] [Anonymous], 2007, Introduction to Mathematical Systems Theory. Linear Systems
  • [4] Blomberg H., 1983, Algebraic Theory for Multivariable Linear Systems
  • [5] FREQUENCY DOMAIN STABILITY CRITERIA .2.
    BROCKETT, RW
    WILLEMS, JL
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1965, AC10 (04) : 407 - &
  • [6] FREQUENCY DOMAIN STABILITY CRITERIA .I.
    BROCKETT, RW
    WILLEMS, JL
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1965, AC10 (03) : 255 - &
  • [7] Second-order counterexample to the discrete-time Kalman conjecture
    Carrasco, Joaquin
    Heath, William P.
    de la Sen, Manuel
    [J]. 2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, : 981 - 985
  • [8] Input to State Stability and Allied System Properties
    Dashkovskiy, S. N.
    Efimov, D. V.
    Sontag, E. D.
    [J]. AUTOMATION AND REMOTE CONTROL, 2011, 72 (08) : 1579 - 1614
  • [9] Delchamps D.F., 1987, STATE SPACE AND INPU
  • [10] Desoer CA., 1975, FEEDBACK SYSTEMS INP
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