Stability and stabilization of implicit systems

被引:0
|
作者
Masubuchi, I [1 ]
机构
[1] Kobe Univ, Dept Comp & Syst, Kobe, Hyogo 6578501, Japan
关键词
D O I
暂无
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 is concerned with stability and stabilization of implicit systems. Stability criteria are provided in terms of the Kronecker form, Lyapunov equation and inequality and conditions on extended rank and invertibility of the system pencil. Then stabilization of implicit systems via interconnection is considered based on the notion of initial-freedom preservation as a formulation of regularity of interconnection. To analyze stabilization with initial-freedom preservation, we define complete-stabilizability and zero-detectability. It is shown that stabilizability via interconnection with initial-freedom preservation is equivalent to complete-stabilizability and zero-detectability. Thus standard results on output feedback stabilization of state-space and descriptor systems are generalized to stabilization of implicit systems via interconnection.
引用
收藏
页码:3636 / 3641
页数:6
相关论文
共 50 条
  • [1] Stability Analysis of Implicit Polynomial Systems
    Coutinho, Daniel F.
    de Souza, Carlos E.
    Trofino, Alexandre
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (05) : 1012 - 1018
  • [2] Stability of implicit resolvent dynamical systems
    Noor, MA
    Noor, KI
    Memon, ZA
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (03): : 553 - 562
  • [3] An LMI condition for stability of implicit systems
    Masubuchi, I
    Shimemura, E
    [J]. PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 1997, : 779 - 780
  • [4] A stabilization of multistep linearly implicit schemes for dissipative systems
    Matsuo, Takayasu
    Furihata, Daisuke
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 264 : 38 - 48
  • [5] Coderivatives of implicit multifunctions and stability of variational systems
    Nguyen Thanh Qui
    [J]. Journal of Global Optimization, 2016, 65 : 615 - 635
  • [6] Exact observability and stability of stochastic implicit systems
    Ge, Zhaoqiang
    [J]. SYSTEMS & CONTROL LETTERS, 2021, 157
  • [7] Stability and stabilization of spatially interconnected systems
    Liu H.-B.
    Yu H.-S.
    [J]. Kongzhi yu Juece/Control and Decision, 2020, 35 (03): : 749 - 756
  • [8] Stability and Stabilization of Positive Systems with Delays
    Liu, Xingwen
    [J]. 2009 INTERNATIONAL CONFERENCE ON COMMUNICATIONS, CIRCUITS AND SYSTEMS PROCEEDINGS, VOLUMES I & II: COMMUNICATIONS, NETWORKS AND SIGNAL PROCESSING, VOL I/ELECTRONIC DEVICES, CIRUITS AND SYSTEMS, VOL II, 2009, : 908 - 912
  • [9] STABILIZATION OF NONLINEAR SYSTEMS WITH HOMOGENEOUS STABILITY
    HONG Yiguang
    CHENG Daizhan
    QIN Huashu(Institute Of Systems Science
    [J]. Journal of Systems Science & Complexity, 1999, (S1) : 104 - 109
  • [10] Regional stability analysis of implicit polynomial systems
    Coutinho, Daniel E.
    De Souza, Carlos E.
    Trofino, Alexandre
    [J]. PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4228 - +