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Numerical methods for nonlinear optimal control problems: Application to abnormal problems - MaRDI portal

Numerical methods for nonlinear optimal control problems: Application to abnormal problems (Q806971)

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scientific article; zbMATH DE number 4205891
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Numerical methods for nonlinear optimal control problems: Application to abnormal problems
scientific article; zbMATH DE number 4205891

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    Numerical methods for nonlinear optimal control problems: Application to abnormal problems (English)
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    1991
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    One considers the standard optimal control problem which consists of maximizing the integral of a nonlinear function subject to nonlinear dynamics. By using various contrivances, this problem is converted into a variational one, somewhat equivalent to the determination of the trajectory of a system in analytical mechanics. Then one gets a block diagonal system of equations which is solved in practice by Newton's method. The technique can incorporate equality and equality constraints.
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    abnormal problems
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    optimal control
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    nonlinear dynamics
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    Newton's method
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