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

页码：6361 / 6366

页数：6