Optimal control for descriptor systems: Tracking problem (Q2762466)

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scientific article; zbMATH DE number 1687878
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Optimal control for descriptor systems: Tracking problem
scientific article; zbMATH DE number 1687878

    Statements

    8 January 2002
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    linear tracking
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    singular continuous-time linear systems
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    Hamilton-Jacobi approach
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    Drazin inverse
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    Riccati equation
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    Optimal control for descriptor systems: Tracking problem (English)
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    The linear tracking problem for singular continuous-time linear systems is considered. The Hamilton-Jacobi approach is applied to compute the optimal control and associated trajectory. Two methods are presented. The first method is based on the Drazin inverse and the second one on the solution of a Riccati equation. Necessary and sufficient conditions for the existence and uniqueness of a solution are established.
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