Unified framework for continuous- and discrete-time Nash realizations

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Unified framework for continuous- and discrete-time Nash realizations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Unified framework for continuous- and discrete-time Nash realizations

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

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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Počet stran výsledku

4

Strana od-do

254-257

Název nakladatele

University of Groningen

Místo vydání

Groningen

Místo konání akce

Groningen, The Netherlands

Datum konání akce

7. 7. 2014

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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