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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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 ideas and basic a 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 ideas and basic a (en)
Title	Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity (en)
skos:prefLabel	Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity (en)
skos:notation	RIV/49777513:23220/09:00502021!RIV10-GA0-23220___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(GA102/07/0147)
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Štork, Milan Hrušák, Josef Mayer, Daniel
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	333411
http://linked.open...ai/riv/idVysledku	RIV/49777513:23220/09:00502021
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Signal power; signal energy; structure; state space velocity; state space metric; nonlinear system; internal; external; representation. (en)
http://linked.open.../riv/klicoveSlovo	Signal power state space metric state space velocity structure external internal representation. signal energy nonlinear system
http://linked.open...ontrolniKodProRIV	[D17DCD32C164]
http://linked.open...v/mistoKonaniAkce	Rodos Island, Greece
http://linked.open...i/riv/mistoVydani	Rodos Island
http://linked.open...i/riv/nazevZdroje	Proceedings of the 13th WSEAS international conference on Systems
http://linked.open...in/vavai/riv/obor	JA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Dynamical interactions of magnetic field with solid and liquid mechanical systems
http://linked.open...UplatneniVysledku	2009
http://linked.open...iv/tvurceVysledku	Štork, Milan Hrušák, Josef Mayer, Daniel
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000272165400025
http://linked.open.../riv/zahajeniAkce	2009-07-24 (xsd:date)
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	WSEAS Press
https://schema.org/isbn	978-960-474-097-0
http://localhost/t...ganizacniJednotka	23220

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