Delay-independent stability of cone-invariant monotone systems
Paper in proceedings, 2016

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.

Asymptotic stability

Thermal stability


Time-varying systems


Wireless networks

Stability analysis


H.R. Feyzmahdavian

Royal Institute of Technology (KTH)

Themistoklis Charalambous

Chalmers, Signals and Systems, Communication and Antenna Systems, Communication Systems

Mikael Johansson

Royal Institute of Technology (KTH)

2015 54TH IEEE Conference on Decision and Control

0743-1546 (ISSN)

Vol. 2016-February 6361-6366
978-1-4799-7886-1 (ISBN)

Subject Categories

Electrical Engineering, Electronic Engineering, Information Engineering





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