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Duality and eventually periodic systems
Author(s) -
Farhood M.,
Dullerud G. E.
Publication year - 2005
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.1012
Subject(s) - duality (order theory) , mathematics , mathematical economics , pure mathematics
Abstract This paper employs semidefinite programming duality theory to develop new alternative linear matrix inequality (LMI) tools for eventually periodic systems. These tools are then utilized to rederive an important version of the Kalman–Yakubovich–Popov (KYP) Lemma for such systems, and further give new synthesis results. Copyright © 2005 John Wiley & Sons, Ltd.