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
  • [21] DELAY-INDEPENDENT STABILITY-CRITERIA FOR DISCRETE-DELAY SYSTEMS
    MORI, T
    FUKUMA, N
    KUWAHARA, M
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1982, 27 (04) : 964 - 966
  • [22] Delay-independent stability conditions for a class of nonlinear difference systems
    Aleksandrov, A. Yu.
    Aleksandrova, E. B.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (07): : 3367 - 3380
  • [23] Delay-Independent Stability Conditions for Some Classes of Nonlinear Systems
    Aleksandrov, Alexander Yu.
    Hu, Guang-Da
    Zhabko, Alexey P.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (08) : 2209 - 2214
  • [24] DELAY-INDEPENDENT ROBUST STABILITY OF UNCERTAIN LINEAR-SYSTEMS
    LUO, JS
    JOHNSON, A
    VANDENBOSCH, PPJ
    SYSTEMS & CONTROL LETTERS, 1995, 24 (01) : 33 - 39
  • [25] Further results on the delay-independent asymptotic stability of linear systems
    Hmamed, A., 1600, (22):
  • [26] Delay-independent Stability of Cone-invariant Monotone Systems
    Feyzmandavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, : 6361 - 6366
  • [27] On robust D-stability of uncertain singular delay systems
    Zhou, Xiaohui
    Mei, Ping
    Shi, Ting
    Lu, Renquan
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 197 - 201
  • [28] Strong delay-independent stability analysis of neutral delay systems with commensurate delays
    Song, Yunxia
    Jiang, Huaiyuan
    Yang, Xuefei
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (14): : 7600 - 7619
  • [29] Characterization of delay-independent stability and delay interference phenomena
    Michiels, Wim
    Niculescu, Silviu-Iulian
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 45 (06) : 2138 - 2155
  • [30] On Delay-Independent Stability of a Class of Nonlinear Positive Time-Delay Systems
    Bokharaie, Vahid S.
    Mason, Oliver
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (07) : 1974 - 1977
12345