D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems

被引：61
|
作者：
Bokharaie, Vahid Samadi [1 ]
Mason, Oliver [1 ]
Verwoerd, Mark [1 ]
机构：
[1] Natl Univ Ireland, Hamilton Inst, Maynooth, Kildare, Ireland
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 12期
基金：
爱尔兰科学基金会;
关键词：
Globally asymptotically stable (GAS); linear time-invariant (LTI); THEOREM;
D O I：
10.1109/TAC.2010.2076334
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce a nonlinear definition of D-stability, extending the usual concept for positive linear time-invariant systems. We show that globally asymptotically stable, cooperative systems, homogeneous of any order with respect to arbitrary dilation maps are D-stable. We also prove a strong stability result for delayed cooperative homogeneous systems. Finally, we show that both of these results also hold for planar cooperative systems without the restriction of homogeneity.
引用
收藏
页码：2882 / 2885
页数：4
相关论文
共 50 条
  • [1] D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems (vol 55, pg 2882, 2010)
    Bokharaie, Vahid Samadi
    Mason, Oliver
    Verwoerd, Mark
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (06) : 1489 - 1489
  • [2] Delay-independent stability of homogeneous systems
    Aleksandrov, A. Yu.
    Zhabko, A. P.
    APPLIED MATHEMATICS LETTERS, 2014, 34 : 43 - 50
  • [3] D-stability of generalized homogeneous cooperative systems
    Sun, Yuangong
    AUTOMATICA, 2021, 125
  • [4] D-stability and delay-independent stability of monotone nonlinear systems with max-separable Lyapunov functions
    Besselink, B.
    Feyzmahdavian, H. R.
    Sandberg, H.
    Johansson, M.
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 3172 - 3177
  • [5] Delay-Independent Stability of Reset Systems
    Banos, Alfonso
    Barreiro, Antonio
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) : 341 - 346
  • [6] Strong delay-independent stability of linear delay systems
    de Oliveira, Fulvia S. S.
    Souza, Fernando O.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (10): : 5421 - 5433
  • [7] Delay-independent asymptotic stability in monotone systems
    Devane, Eoin
    Lestas, Ioannis
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 4658 - 4663
  • [8] Delay-independent stability of uncertain control systems
    Tuzcu, I
    Ahmadian, M
    JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2002, 124 (02): : 277 - 283
  • [9] Delay-Independent Asymptotic Stability in Monotone Systems
    Devane, Eoin
    Lestas, Ioannis
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (09) : 2625 - 2631
  • [10] Delay-independent stability of reset control systems
    Banos, Alfonso
    Barreiro, Antonio
    IECON 2006 - 32ND ANNUAL CONFERENCE ON IEEE INDUSTRIAL ELECTRONICS, VOLS 1-11, 2006, : 3029 - +
12345