Unified framework for continuous- and discrete-time Nash realizations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F14%3A43897725" target="_blank" >RIV/60461373:22340/14:43897725 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Unified framework for continuous- and discrete-time Nash realizations
Original language description
In this paper we investigate realization theory of a class of non-linear systems, called Nash systems, both in continuous and discrete time. To unify the approach for continuous and discrete time we will consider Nash systems on time scales. Nash systemsare non-linear systems whose vector fields and readout maps are analytic semi-algebraic functions. We will present necessary and sufficient conditions for a given response map to have a realization as a Nash system on the time scale, and we will relateobservability and reachability of Nash systems to minimality. The main contribution of the paper is twofold: 1) considering time scales framework for the class of semi-algebraic systems and solving realization problem, 2) results concerning discrete-timecounterpart of the obtained characterization of the existence of Nash realizations on time scales.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems
ISBN
978-90-367-6321-9
ISSN
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e-ISSN
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Number of pages
4
Pages from-to
254-257
Publisher name
University of Groningen
Place of publication
Groningen
Event location
Groningen, The Netherlands
Event date
Jul 7, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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