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Journal of Mathematical Analysis and Applications
Article
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
Article . 1983
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
Article . 1983 . Peer-reviewed
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zbMATH Open
Article . 1983
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A conditional gradient method for an optimal control problem involving a class of nonlinear second-order hyperbolic partial differential equations

Authors: Wu, Z.S.; Teo, K.L.;

A conditional gradient method for an optimal control problem involving a class of nonlinear second-order hyperbolic partial differential equations

Abstract

AbstractThe aim of this paper is to consider an optimal control problem involving a class of nonlinear hyperbolic partial differential equations. A conditional gradient method is used to obtain an algorithm for solving the optimal control problem iteratively. It is then shown that any accumulation point of the sequence of controls generated by the algorithm (if it exists) satisfies a necessary condition for optimality.

Keywords

Numerical optimization and variational techniques, Control/observation systems governed by partial differential equations, conditional gradient algorithm, Applied Mathematics, Methods of reduced gradient type, Optimality conditions for problems involving partial differential equations, Computational methods in systems theory, Analysis, Second-order nonlinear hyperbolic equations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
9
Average
Top 10%
Average
hybrid