Zobrazeno 1 - 10 of 34 pro vyhledávání: '"Hubert Halkin"'
1
Optimal Control as Programming in Infinite Dimensional Spaces
Autor: Hubert Halkin
Publikováno v: Calculus of Variations, Classical and Modern ISBN: 9783642110412
Introduction. The terms “Programming” and “Mathematical Programming” refer here to the usual constrained maximization problem of the type: given a function φ (x) = (φ A (x),…, φk (x)) from En (the Euclidean n-dimensional space) into Ek,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::8f162bba621ffcf84876e2f2854d13e1
https://doi.org/10.1007/978-3-642-11042-9_4
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3
Implicit Functions and Optimization Problems without Continuous Differentiability of the Data
Autor: Hubert Halkin
Publikováno v: SIAM Journal on Control. 12:229-236
Let $\phi$ be a function from a normed linear space X into a finite-dimensional Euclidean space Y and let A be a continuous linear mapping from XontoY. We assume that $\phi$ is continuous in a neighborhood of some point $\hat x \in X$ and that $\phi$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::06a983afddba29c57112525aa4bba2ee
https://doi.org/10.1137/0312017
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8
A satisfactory treatment of equality and operator constraints in the Dubovitskii-Milyutin optimization formalism
Autor: Hubert Halkin
Publikováno v: Journal of Optimization Theory and Applications. 6:138-149
The formalism of Dubovitskii and Milyutin is very attractive but, up to now, it could not be applied to optimization problems involving equality and operator constraints. In the present paper, the formalism of Dubovitskii and Milyutin is extended to
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a01f01474894dde5300015075e90135d
https://doi.org/10.1007/bf00927047
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9
Liapounov's theorem on the range of a vector measure and Pontryagin's maximum principle
Autor: Hubert Halkin
Publikováno v: Archive for Rational Mechanics and Analysis. 10:296-304
The necessary condition for the optimal control of a non-linear dynamical system is studied. The system under consideration is described by a canonical system of ordinary differential equations for the state variables. The differential equations depe
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7717fa2e875375b927f3b971b2580429
https://doi.org/10.1007/bf00281196
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10
A property of nonseparated convex sets
Autor: Hubert Halkin
Publikováno v: Proceedings of the American Mathematical Society. 17:1389-1395
Introduction. The theory of convex sets, and more particularly their separation properties, is a very useful tool in the solution of many optimal control problems. In the case of linear problems the theory of convex sets gives an immediate answer, se
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d5e50814b62c220042cebbe8114774e6
https://doi.org/10.1090/s0002-9939-1966-0200789-0
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