NDLI: Realization theory of Nash systems

Content Provider	IEEE Xplore Digital Library
Author	Nemcova, J. Petreczky, M. van Schuppen, J.H.
Copyright Year	2009
Description	Author affiliation: Centrum Wiskunde & Informatica (CWI), P.O. Box 94079, 1090 GB Amsterdam, The Netherlands (Nemcova, J.; van Schuppen, J.H.) \|\| Maastricht University, Department of Knowledge Engineering, P.O. Box 616, 6200 MD, The Netherlands (Petreczky, M.)
Abstract	This paper deals with realization theory of so-called Nash systems, i.e. nonlinear systems the right-hand side of which is defined by Nash functions. A Nash function is a semi-algebraic analytic function. The class of Nash systems is an extension of the class of polynomial and rational systems and it is a subclass of analytic nonlinear systems. Nash systems occur in many applications, including systems biology. We formulate the realization problem for Nash systems and present a partial solution to it. More precisely, we provide necessary and sufficient conditions for realizability of a response map by a Nash system. The concepts of semi-algebraic observability and reachability are formulated and their relationship with minimality is explained. In addition to their importance for systems theory, the obtained results are expected to contribute to system identification and model reduction of Nash systems.
Starting Page	5935
Ending Page	5940
File Size	477929
Page Count	6
File Format	PDF
ISBN	9781424438716
ISSN	01912216
DOI	10.1109/CDC.2009.5399920
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-12-15
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Nonlinear systems Systems biology System identification Reduced order systems Biological system modeling Observability Filtering Differential equations Robust stability
Content Type	Text
Resource Type	Article

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