Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Physical Correctness of Systems, State Space Representations, Minimality and Dissipativity
Original language 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 i
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JA - Electronics and optoelectronics
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA102%2F07%2F0147" target="_blank" >GA102/07/0147: Dynamical interactions of magnetic field with solid and liquid mechanical systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
8
Pages from-to
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Publisher name
WSEAS Press
Place of publication
Rodos Island
Event location
Rodos Island, Greece
Event date
Jul 24, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000272165400025