Stability analysis of linear 2-D systems

被引：26
|
作者：
Liu, Tao [1 ]
机构：
[1] Univ Sci & Technol Beijing, Dept Commun Engn, Informat Engn Sch, Beijing 100083, Peoples R China
来源：
SIGNAL PROCESSING | 2008年 / 88卷 / 08期
关键词：
stability; two-dimensional systems; nonnegative matrix;
D O I：
10.1016/j.sigpro.2008.02.007
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The present paper is concerned with stability analysis of linear two-dimensional systems described by Fornasini-Marchesini state-space model. Necessary and sufficient conditions for asymptotic stability of the systems are obtained first. Several simple stability criteria are derived via the nonnegative matrix theory, which are sharper than those in literature. When all the parameter matrices are nonnegative, the criteria are necessary and sufficient for stability of the system. Illustrative examples are provided. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：2078 / 2084
页数：7
相关论文
共 50 条
  • [21] Algebraic Necessary and Sufficient Conditions for Testing Stability of 2-D Linear Systems
    Mohsenipour, Reza
    Agathoklis, Panajotis
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (04) : 1825 - 1831
  • [22] On Robust Stability of 2-D Linear Discrete Systems described by the Recursive Model
    Li, Xiaoxue
    Hou, Xiaorong
    Lu, Jinbo
    PROCEEDINGS OF ICRCA 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS, CONTROL AND AUTOMATION / ICRMV 2018: 2018 THE 3RD INTERNATIONAL CONFERENCE ON ROBOTICS AND MACHINE VISION, 2018, : 52 - 56
  • [23] Stability analysis and H∞ norm computation of 2-D discrete systems using linear matrix inequalities
    Ito, Y
    Hayashi, K
    Fujiwara, H
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 3306 - 3311
  • [24] Asymptotic stability of 2-D positive linear systems with orthogonal initial states
    Zhu, Qiao
    Cui, Jia-Rui
    Hu, Guang-Da
    Zidonghua Xuebao/Acta Automatica Sinica, 2013, 39 (09): : 1543 - 1546
  • [25] Improved 2-D Stability Margin Test for 2-D Discrete Systems
    XIAO Yang\ DU Xiyu Institute of Information Science
    Journal of Systems Science and Systems Engineering, 1998, (02) : 100 - 105
  • [26] INVERTIBILITY OF 2-D LINEAR-SYSTEMS
    KACZOREK, T
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1992, 3 (04) : 341 - 351
  • [27] A Method for Computing the 2-D Stability Margin Based on a New Stability Test for 2-D Systems
    Nikos E. Mastorakis
    Multidimensional Systems and Signal Processing, 1999, 10 : 93 - 99
  • [28] A method for computing the 2-D stability margin based on a new stability test for 2-D systems
    Mastorakis, NE
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1999, 10 (01) : 93 - 99
  • [29] New Approach to Stability Analysis for Uncertain 2-D Continuous Systems
    Kririm, Said
    Hmamed, Abdelaziz
    INTERNATIONAL JOURNAL OF ECOLOGY & DEVELOPMENT, 2015, 30 (02) : 11 - 19
  • [30] Lyapunov stability analysis of higher-order 2-D systems
    Kojima, Chiaki
    Rapisarda, Paolo
    Takaba, Kiyotsugu
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 1734 - 1739
12345