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Citace:
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HRUŠÁK, J., ŠTORK, M., MAYER, D. Dissipation normal form, conservativity, instability and chaotic behavior of continuous-time strictly causal systems . In Proceedings of the 9th WSEAS International CSCC Multiconference: Circuits '05, Systems '05, Computers '05, Communications '05. Athens: WSEAS, 2005. s. 1-6. ISBN: 960-8457-29-7
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Druh:
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STAŤ VE SBORNÍKU
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Jazyk publikace:
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eng
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Anglický název:
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Dissipation normal form, conservativity, instability and chaotic behavior of continuous-time strictly causal systems
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Rok vydání:
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2005
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Místo konání:
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Athens
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Název zdroje:
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WSEAS
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Autoři:
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Josef Hrušák
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Milan Štork
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Daniel Mayer
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Abstrakt CZ:
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Strukturální vlastnosti určiré třídy striktně kauzálních systémů. Demonstrováno na příkladech.
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Abstrakt EN:
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The paper deals with structural properties of a class of strictly causal systems. It is shown that a special physically correct internal structure of a given system representation caled dissipation normal form can be derived as a natural consequence of strict causality, dissipativity, minimality and asymptotic stability requirements. A proper generalization of classic Tellegen’s theorem together with a concept of bi-orthonormal basis of the state velocity space have been used as basic ingrediences expressing the signal energy conservation law for abstract system state space representations. It is demonstrated by examples that in continuous-time version the resulting structure represent a unifying tool for analysis and synthesis of a relatively general class of linear as well as nonlinear causal systems.
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Klíčová slova
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