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Further results on delay robustness of interconnected passive systems

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3 Author(s)
Erin Summers ; Department of Electrical Engineering, University of California, Berkeley ; Murat Arcak ; Andrew Packard

We analyze the stability of networks of passive systems with time delays in the interconnections. Building upon previous work where we complemented the passivity property with a “roll-off” integral quadratic constraint (IQC), here we expand our results to state space models. We first demonstrate how to verify that a state space model satisfies passivity and roll-off IQCs when the equilibrium is not known. We then illustrate the result on an Internet congestion control problem.

Published in:

2012 American Control Conference (ACC)

Date of Conference:

27-29 June 2012