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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

  • DOI - Digital Object Identifier

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

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JA - Electronics and optoelectronics

  • OECD FORD branch

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

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • 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