Delay-independent stability of cone-invariant monotone systems
Paper i proceeding, 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

Kungliga Tekniska Högskolan (KTH)

Themistoklis Charalambous

Chalmers, Signaler och system, Kommunikations- och antennsystem, Kommunikationssystem

Mikael Johansson

Kungliga Tekniska Högskolan (KTH)

2015 54TH IEEE Conference on Decision and Control

0743-1546 (ISSN)

Vol. 2016-February 6361-6366


Elektroteknik och elektronik





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