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

页码：2882 / 2885

页数：4

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