Delay-independent stability of cone-invariant monotone systems
Paper in 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

Trajectory

Time-varying systems

Delays

Wireless networks

Stability analysis

Author

H.R. Feyzmahdavian

Royal Institute of Technology (KTH)

Themistoklis Charalambous

Chalmers, Signals and Systems, Communication, Antennas and Optical Networks

Mikael Johansson

Royal Institute of Technology (KTH)

Proceedings of the IEEE Conference on Decision and Control

07431546 (ISSN) 25762370 (eISSN)

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

Subject Categories

Electrical Engineering, Electronic Engineering, Information Engineering

DOI

10.1109/CDC.2015.7403221

ISBN

978-1-4799-7886-1

More information

Latest update

8/8/2023 6