Realization theory of Nash systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F13%3A43895256" target="_blank" >RIV/60461373:22340/13:43895256 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Realization theory of Nash systems

Popis výsledku v původním jazyce

This paper deals with realization theory of so-called Nash systems, i.e., nonlinear systems the right-hand sides of which are defined by Nash functions. A Nash function is a semialgebraic 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. Formulation of the realization problem for Nash systems and a partial solution to it are presented. More precisely, necessary and sufficient conditions for realizability of a response map by a Nash system are provided. The concepts of semialgebraic observability and semialgebraic 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.

Název v anglickém jazyce

Realization theory of Nash systems

Popis výsledku anglicky

This paper deals with realization theory of so-called Nash systems, i.e., nonlinear systems the right-hand sides of which are defined by Nash functions. A Nash function is a semialgebraic 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. Formulation of the realization problem for Nash systems and a partial solution to it are presented. More precisely, necessary and sufficient conditions for realizability of a response map by a Nash system are provided. The concepts of semialgebraic observability and semialgebraic 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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BC - Teorie a systémy řízení

OECD FORD obor

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Projekt

<a href="/cs/project/GP13-16764P" target="_blank" >GP13-16764P: Pozorovatelnost semi-algebraických systémů</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

SIAM JOURNAL ON CONTROL AND OPTIMIZATION

ISSN

0363-0129

e-ISSN

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Svazek periodika

51

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

3386-3414

Kód UT WoS článku

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EID výsledku v databázi Scopus

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