Title :
Delay-independent stability of cone-invariant monotone systems
Author :
Hamid Reza Feyzmahdavian;Themistoklis Charalambous;Mikael Johansson
Author_Institution :
Department of Automatic Control, School of Electrical Engineering and ACCESS Linnaeus Center, Royal Institute of Technology (KTH), SE-100 44 Stockholm, Sweden
Abstract :
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.
Keywords :
"Delays","Asymptotic stability","Stability analysis","Time-varying systems","Thermal stability","Trajectory","Wireless networks"
Conference_Titel :
Decision and Control (CDC), 2015 IEEE 54th Annual Conference on
DOI :
10.1109/CDC.2015.7403221