@inproceedings{7db9dc4003a146b1818381500594f163,
title = "KYP lemma for internally positive systems and a tractable class of distributed H-infinity control problems",
abstract = "We consider the KYP lemma for internally positive LTI systems and show that the H∞ norm of such systems can be evaluated by checking the existence of a certain diagonal quadratic storage function. Once the existence of such a diagonal quadratic storage function is ensured, the problem of finding the optimal H∞ controller among the class of structured static state feedback controllers attaining internal positivity of the closed loop system becomes convex and tractable.",
author = "Takashi Tanaka and C{\'e}dric Langbort",
year = "2010",
doi = "10.1109/acc.2010.5531530",
language = "English (US)",
isbn = "9781424474264",
series = "Proceedings of the 2010 American Control Conference, ACC 2010",
publisher = "IEEE Computer Society",
pages = "6238--6243",
booktitle = "Proceedings of the 2010 American Control Conference, ACC 2010",
}