@inproceedings{f1995ede2ffa44a89455bd8e02ebfd36,
title = "Duality in Robust Control: Controller vs. Uncertainty",
abstract = "To find a controller that provides the maximal stability margin to an LTI system under rank-one perturbations is a quasiconvex problem. In the paper, the dual quasiconvex problem is obtained, using the convex duality arguments in the Hardy space H∞. It is shown that the dual problem can be viewed as minimization of a {"}length{"} of uncertainties that destabilize the system. Several examples establishing a connection with such classical results as the corona theorem and the Adamyan-Arov-Krein theorem are considered",
keywords = "uncertain systems, robust control, duality (mathematics), linear systems, minimisation, optimisation",
author = "Andrey Ghulchak",
year = "2001",
doi = "10.1109/.2001.981034",
language = "English",
isbn = "0-7803-7061-9",
volume = "2",
publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",
pages = "1113--1118",
booktitle = "Proceedings of the 40th IEEE Conference on Decision and Control, 2001.",
address = "United States",
note = "Conference on Decision and Control ; Conference date: 04-12-2001",
}