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Delay-independent stability of cone-invariant monotone systems

H.R. Feyzmahdavian ; Themistoklis Charalambous (Institutionen för signaler och system, Kommunikationssystem) ; M. Johansson
2015 54TH IEEE Conference on Decision and Control (0743-1546). Vol. 2016-February (2016), p. 6361-6366.
[Konferensbidrag, refereegranskat]

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.

Nyckelord: Asymptotic stability, Delays, Stability analysis, Thermal stability, Time-varying systems, Trajectory, Wireless networks

Denna post skapades 2016-05-10. Senast ändrad 2016-12-14.
CPL Pubid: 236194


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Institutionen för signaler och system, Kommunikationssystem (1900-2017)


Elektroteknik och elektronik

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