Optimal control of sampled-data piecewise affine systems (Q1433068)

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scientific article; zbMATH DE number 2075430
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Optimal control of sampled-data piecewise affine systems
scientific article; zbMATH DE number 2075430

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    Optimal control of sampled-data piecewise affine systems (English)
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    15 June 2004
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    The author gives an explicit solution to a finite time optimal control problem for piecewise affine systems. The switching between the different component systems is controlled by logical events evaluated at prescribed sampling instances. The optimal control problem involves a functional consisting of a quadratic continuous-time and a piecewise quadratic discrete-time component. Its explicit solution relies on appropriate controllability assumptions on the matrices of the component systems.
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    sampled-data optimal control
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    piecewise affine system
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    hybrid system
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    controllability
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    explicit solution
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    switching
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