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Optimization of systems of canonical hyperbolic equations with smooth bounded controls - MaRDI portal

Optimization of systems of canonical hyperbolic equations with smooth bounded controls (Q5954335)

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scientific article; zbMATH DE number 1699572
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English
Optimization of systems of canonical hyperbolic equations with smooth bounded controls
scientific article; zbMATH DE number 1699572

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    Optimization of systems of canonical hyperbolic equations with smooth bounded controls (English)
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    23 April 2002
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    This paper is devoted to the problem of optimal control of a system described by a set of canonical hyperbolic equations. As distinct from the conventional class of piecewise continuous controls, feasible controls are differentiable functions subject to direct amplitude or integral-amplitude constraints. New necessary optimality conditions are obtained, and optimization algorithms that possess the relaxation property and converge to the necessary conditions are developed.
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    optimal control problem
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    hyperbolic equations
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    optimization
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    feasible control
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    constraints
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    necessary conditions
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