NDLI: Structured coprime factorizations description of Linear and Time-Invariant networks

Content Provider	IEEE Xplore Digital Library
Author	Sabau, S. Oara, C. Warnick, S. Jadbabaie, A.
Copyright Year	2013
Description	Author affiliation: Autom. Control Dept., Univ. Politeh. Bucharest, Bucharest, Romania (Oara, C.) \|\| Electr. & Comput. Eng. Dept., Stevens Inst. of Technol., Hoboken, NJ, USA (Sabau, S.) \|\| Electr. & Syst. Eng. Dept., Univ. of Pennsylvannia, Philadelphia, PA, USA (Jadbabaie, A.) \|\| Comput. Sci. Dept., Brigham Young Univ., Provo, UT, USA (Warnick, S.)
Abstract	In this paper we study state-space realizations of Linear and Time-Invariant (LTI) systems. Motivated by biochemical reaction networks, Gonçalves and Warnick have recently introduced the notion of a Dynamical Structure Functions (DSF), a particular factorization of the system's transfer function matrix that elucidates the interconnection structure in dependencies between manifest variables. We build onto this work by showing an intrinsic connection between a DSF and certain sparse left coprime factorizations. By establishing this link, we provide an interesting systems theoretic interpretation of sparsity patterns of coprime factors. In particular we show how the sparsity of these coprime factors allows for a given LTI system to be implemented as a network of LTI sub-systems. We examine possible applications in distributed control such as the design of a LTI controller that can be implemented over a network with a pre-specified topology.
Sponsorship	IEEE Control Syst. Soc.
Starting Page	2720
Ending Page	2725
File Size	282990
Page Count	6
File Format	PDF
ISBN	9781467357142
ISSN	07431546
e-ISBN	9781467357173
DOI	10.1109/CDC.2013.6760294
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2013-12-10
Publisher Place	Italy
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Transfer functions Equations Indium phosphide Mathematical model Network topology Topology Electronic mail
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Modeling and Simulation

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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