Delay-independent Stability of Cone-invariant Monotone Systems

被引：0
|
作者：
Feyzmandavian, Hamid Reza [1 ,2 ]
Charalambous, Themistoklis [3 ]
Johansson, Mikael [1 ,2 ]
机构：
[1] Royal Inst Technol KTH, Dept Automat Control, Sch Elect Engn, SE-10044 Stockholm, Sweden
[2] Royal Inst Technol KTH, ACCESS Linnaeus Ctr, SE-10044 Stockholm, Sweden
[3] Chalmers Univ Technol, Dept Signals & Syst, SE-41258 Gothenburg, Sweden
来源：
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC) | 2015年
关键词：
HOMOGENEOUS POSITIVE SYSTEMS; POWER-CONTROL;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Recent results in the literature have shown that particular classes of positive systems are insensitive to time-varying delays, giving the impression that the delay-insensitivity property stems from the fact that the system is positive. Nonetheless, it has been lately shown that a linear cone-invariant system is insensitive to time-varying delays, asserting that the property of delay-independence may stem from the fact that the system is cone-invariant rather than positive. In this paper, we provide additional evidence for this claim by analyzing the stability of cone-invariant monotone systems with bounded time-varying delays. We present a set of sufficient conditions for delay independent stability of discrete-and continuous-time cone-invariant monotone systems. For linear cone-invariant systems, we show that the stability conditions we have derived are also necessary.
引用
收藏
页码：6361 / 6366
页数：6
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