Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F09%3A00502021" target="_blank" >RIV/49777513:23220/09:00502021 - 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

Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity

Popis výsledku v původním jazyce

This paper deals with internal stability and related structural properties of a relatively broad class of finite dimensional strictly causal systems, which can be described in the state-space representation form. Dissipativity, instability, asymptotic stability as well as stability in the sense of Lyapunov are analyzed by a new approach based on an abstract state energy concept. The resulting energy metric function is induced by the output signal power and determines both, the structure of a proper system representation as well as the corresponding system state space topology. A special form of physically correct internal structure of an equivalent state space representation has been derived for both the continuous- and discrete-time signals as a natural consequence of strict causality, signal energy conservation, dissipativity and state minimality requirements. Several typical problems are solved in detail, and results of simulation examples are shown for illustration of fundamental i

Název v anglickém jazyce

Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity

Popis výsledku anglicky

This paper deals with internal stability and related structural properties of a relatively broad class of finite dimensional strictly causal systems, which can be described in the state-space representation form. Dissipativity, instability, asymptotic stability as well as stability in the sense of Lyapunov are analyzed by a new approach based on an abstract state energy concept. The resulting energy metric function is induced by the output signal power and determines both, the structure of a proper system representation as well as the corresponding system state space topology. A special form of physically correct internal structure of an equivalent state space representation has been derived for both the continuous- and discrete-time signals as a natural consequence of strict causality, signal energy conservation, dissipativity and state minimality requirements. Several typical problems are solved in detail, and results of simulation examples are shown for illustration of fundamental i

Druh

D - Stať ve sborníku

CEP obor

JA - Elektronika a optoelektronika, elektrotechnika

OECD FORD obor

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Projekt

<a href="/cs/project/GA102%2F07%2F0147" target="_blank" >GA102/07/0147: Dynamické interakce magnetického pole s pevnými a kapalnými mechanickými systémy</a><br>

Návaznosti

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

Rok uplatnění

2009

Kód důvěrnosti údajů

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

Název statě ve sborníku

Proceedings of the 13th WSEAS international conference on Systems

ISBN

978-960-474-097-0

ISSN

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e-ISSN

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Počet stran výsledku

8

Strana od-do

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Název nakladatele

WSEAS Press

Místo vydání

Rodos Island

Místo konání akce

Rodos Island, Greece

Datum konání akce

24. 7. 2009

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000272165400025