Kalman-Yakubovich-Popov lemma for two-dimensional systems

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/194203

Title: Kalman-Yakubovich-Popov lemma for two-dimensional systems
Author(s): Yang, Ran; Xie, Lihua; Zhang, Cishen
Abstract: This paper is concerned with the development of a version of Kalman-Yakubovich-Popov (KYP) lemma for two-dimensional (2-D) systems characterized by the Roesser model. We shall establish the 2-D KYP lemma over any given finite frequency range which contains the KYP lemma over the infinite frequency range as a special case. Note that the latter has not been known for 2-D systems even though its one-dimensional (1-D) counterpart has been available for a long time. Our result is given in terms of a linear matrix inequality (LMI) which enables efficient computations for both analysis and design. As important applications of the lemma, 2-D bounded realness and positive realness will be investigated. A numerical example on the design of 2-D digital filter will be demonstrated.
Publication type: Conference paper
Source: Proceedings of the 16th International Federation of Automatic Control (IFAC) World Congress, Prague, Czech Republic, 04-08 July 2005 / Pavel Zítek (ed.), Vol. 16, part 1
Publication year: 2005
Keyword(s): 2-D digital fillters; Bounded and positive realness; Kalman-Yakubovich-Popov lemma; Roesser model; Two-dimensional systems
Publisher: Elsevier
ISSN: 1474-6670 (series ISSN)
ISBN: 9783902661753, 3902661755
Publisher URL: http://dx.doi.org/10.3182/20050703-6-CZ-1902.00220
Peer reviewed