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Unsolved Problems in Mathematical Systems and Control Theory by Vincent D. Blondel, Alexandre Megretski

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Problem 8.3

Determining the least upper bound on

the achievable delay margin

Daniel E. Davison and Daniel E. Miller

Department of Electrical and Computer Engineering

University of Waterloo

Waterloo, Ontario N2L 3G1

Canada

ddavison@kingcong.uwaterloo.c and miller@hobbes.uwaterloo.ca

1 MOTIVATION AND PROBLEM STATEMENT

Control engineers have had to deal with time delays in control processes for decades and, consequently, there is a huge literature on the topic, e.g., see [1] or [2] for collections of recent results. Delays arise from a variety of sources, including physical transport delay (e.g., in a rolling mill or in a chemical plant), signal transmission delay (e.g., in an earth-based satellite control system or in a system controlled over ...

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