On discrete-time state-space energy based system representation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F10%3A00503498" target="_blank" >RIV/49777513:23220/10:00503498 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
On discrete-time state-space energy based system representation
Original language description
This paper deals with stability and related structural properties of a relatively broad class of finite dimensional strictly causal continuous and discrete systems, which can be described in the state-space representation form. Dissipativity, instability, asymptotic stability as well as stability in the sense of Lyapunov is 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 ofa digital 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 discretetime signals as a natural consequence of strict causality, signal energy conservation, dissipativity and state minimality requirements. New discretization approach of discrete systems based on energy preservations is presented. Results of simulation examples are shown for
Czech name
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Czech description
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Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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