Algebraic aspects of control systems and realizations (Q1327049)

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scientific article; zbMATH DE number 589952
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English
Algebraic aspects of control systems and realizations
scientific article; zbMATH DE number 589952

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    Algebraic aspects of control systems and realizations (English)
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    17 April 1995
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    The author sets up a framework for local control systems in terms of Hopf algebras. He describes the notions input-output map, realization, controllability and observability in his setting. The main results of the paper concern realizations. In particular it is shown that a local control system always has a unique minimal realization. There are no examples and no attempt is made to interpret the results in terms of more traditional ways to view control systems.
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    local control systems
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    Hopf algebras
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    input-output map
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    observability
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    minimal realization
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