Stability analysis of two-dimensional systems by means of finitely constructed bilateral quadratic forms

被引：6
|
作者：
Ooba, T [1 ]
Funahashi, Y
机构：
[1] Nagoya Inst Technol, Nagoya, Aichi 4668555, Japan
[2] Chukuo Univ, Fac Engn, Toyota 4700393, Japan
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2004年 / 49卷 / 11期
关键词：
algebraic Riccati matrix inequalities; positive bilateral quadratic forms; stability robustness analysis; state-space stability; two-dimensional systems;
D O I：
10.1109/TAC.2004.837532
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Asymptotic stability of two-dimensional (2-D) systems in the state-space representation is studied. The concept of finitely constructed bilateral quadratic forms is introduced for the set of bilateral sequences of vectors, and the positivity of a bilateral quadratic form is characterized in terms of the solvability of an algebraic Riccati matrix inequality. A Lyapunov-like stability analysis of 2-D systems is conducted by resorting to positivity tests for a sequence of bilateral quadratic forms generated by a recurrence formula. The effectiveness is proved in an illustrative example.
引用
收藏
页码：2068 / 2073
页数：6
相关论文
共 50 条
  • [31] TWO-DIMENSIONAL ANALYSIS OF THE STABILITY OF PARTICULATE SEDIMENTATION
    HILL, CD
    PHYSICS OF FLUIDS, 1980, 23 (04) : 667 - 668
  • [32] Stability analysis of a two-dimensional vortex pattern
    Lansky, IM
    ONeil, TM
    PHYSICAL REVIEW E, 1997, 55 (06): : 7010 - 7014
  • [33] Global Stability Analysis of Two-dimensional LTI Switched Systems with Saddle Points
    Zhu, Liying
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 4669 - 4674
  • [34] A frequency-partitioning approach to stability analysis of two-dimensional discrete systems
    Li, Xianwei
    Lam, James
    Gao, Huijun
    Gu, Yue
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2015, 26 (01) : 67 - 93
  • [35] Stability analysis for a class of discrete-time two-dimensional nonlinear systems
    Shaker, Hamid Reza
    Tahavori, Maryamsadat
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2010, 21 (03) : 293 - 299
  • [36] Stability analysis for two-dimensional discrete delayed systems described by General models
    Xu, Huiling
    Guo, Lei
    Zou, Yun
    Xu, Shengyuan
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 1520 - +
  • [37] Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach
    Du, C
    Xie, L
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (11): : 1371 - 1374
  • [38] Stability analysis for a class of discrete-time two-dimensional nonlinear systems
    Hamid Reza Shaker
    Maryamsadat Tahavori
    Multidimensional Systems and Signal Processing, 2010, 21 : 293 - 299
  • [39] Bound states in two-dimensional Fermi systems with quadratic band touching
    Santos, Flavio L. N.
    Caracanhas, Monica A.
    Aguiar, M. C. O.
    Pereira, Rodrigo G.
    PHYSICAL REVIEW B, 2020, 101 (15)
  • [40] FOUR NORMAL SIZE LIMIT CYCLES IN TWO-DIMENSIONAL QUADRATIC SYSTEMS
    Leonov, G. A.
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2011, 21 (02): : 425 - 429
12345