GENERALIZED TELLEGEN'S PRINCIPLE AND STATE SPACE ENERGY BASED CAUSAL SYSTEMS DESCRIPTION

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23220%2F11%3A43898880" target="_blank" >RIV/49777513:23220/11:43898880 - 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
GENERALIZED TELLEGEN'S PRINCIPLE AND STATE SPACE ENERGY BASED CAUSAL SYSTEMS DESCRIPTION
Original language description
The chapter deals with a new problem of physical correctness detection in the area of strictly causal system representations. The proposed approach to the problem solution is based on generalization of Tellegen's theorem well known from electrical engineering. Consequently, mathematically as well as physically correct results are obtained. The contribution is mainly concerned with presentation of a new structural approach to analysis and synthesis of linear and non-linear causal systems. It has been proven that complete analysis of instability, conservativity, dissipativity, anti-dissipativity, stability, asymptotic stability and chaoticity reduces to two independent tests: the monotonicity test of abstract state space energy and minimality test of state space dimension, (i.e. for zero input that of complete state observability).
Czech name
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Czech description
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Project
<a href="/en/project/ED2.1.00%2F03.0094" target="_blank" >ED2.1.00/03.0094: Regional Innovation Centre for Electrical Engineering (RICE)</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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