The synthesis of constrained control for distributed systems (Q1904805)

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scientific article; zbMATH DE number 830323
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English
The synthesis of constrained control for distributed systems
scientific article; zbMATH DE number 830323

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    The synthesis of constrained control for distributed systems (English)
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    8 January 1996
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    The control of a linear distributed parameter system is considered. The controllability and the optimal time problem are investigated. The problem is reduced to considering an ordinary parameter system by means of the Fourier method. The sufficient conditions for controllability and the structure of the optimal control are obtained. These results are used for the resolution of the time optimal problem for the heat equation and the wave equation.
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    optimal control
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    linear distributed parameter
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    Fourier method
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    time optimal
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