NDLI: The roots of unity and a direct method for the computation of stable Internal Positive Representations of linear systems

Content Provider	IEEE Xplore Digital Library
Author	Cacace, F. Germani, A. Manes, C.
Copyright Year	2011
Description	Author affiliation: Università Campus Bio-Medico di Roma, Via Álvaro del Portillo, 21, 00128 - Italy (Cacace, F.) \|\| Dipartimento di Ingegneria Elettrica e dell'Informazione, Università degli Studi dell'Aquila, Via G. Gronchi 18, Nucleo Industriale di Pile, 67100 - Italy (Germani, A.; Manes, C.)
Abstract	This paper presents a new technique for the construction of Internal Positive Representations (IPRs) of discrete time linear systems. The proposed method overcomes the limitations of a previously proposed technique, which provides stable IPRs of systems under a restrictive assumption on the position of the eigenvalues in the complex plane. The new method here presented exploits a suitable representation of complex vectors and matrices by means of nonnegative combinations of the roots of unity, and provides a stable IPR for any stable system. The position of the eigenvalues in the complex plane only affects the state-space dimension of the IPR.
Starting Page	3369
Ending Page	3374
File Size	225072
Page Count	6
File Format	PDF
ISBN	9781612848006
ISSN	07431546
e-ISBN	9781612848013
e-ISBN	9781612847993
DOI	10.1109/CDC.2011.6161234
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-12-12
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Intellectual property Vectors Eigenvalues and eigenfunctions Linear systems Transfer functions Equations
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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