Delay-independent stability of cone-invariant monotone systems

— Recent results in the literature have shown that particular classes of positive systems are insensitive to timevarying 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 timevarying 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.

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: Hamid Reza Feyzmahdavian, Themistoklis Charalambous, Mikael Johansson
• Keywords: CDC 2015, Control Systems