Lectures on the Calculus of Variations and Optimal Control Theory (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
337
Utgivningsdatum
2001-09-01
Förlag
Chelsea Publishing Co./American Mathematical Society
Illustrationer
Illustrations
Dimensioner
228 x 152 x 19 mm
Vikt
635 g
Antal komponenter
1
ISBN
9780821826904

Lectures on the Calculus of Variations and Optimal Control Theory

av L C Young
Inbunden,  Engelska, 2001-09-01
1081
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The first part of this work addresses the simpler variational problems in parametric and nonparametric form. The second part covers extensions to optimal control theory. The author opens with the study of three classical problems whose solutions led to the theory of calculus of variations.
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MAA Monthly ... A beautiful book ... that is bound to stimulate many mathematicians and students of mathematics.

Innehållsförteckning

Volume I. Lectures on the Calculus of Variations: Generalities and typical problems The method of geodesic coverings Duality and local embedding Embedding in the large Hamiltonians in the large, convexity, inequalities and functional analysis Existence theory and its consequences Generalized curves and flows Appendix I: Some further basic notions of convexity and integration Appendix II: The variational significance and structure of generalized flows Volume II. Optimal Control Theory: The nature of control problems Naive optimal control theory The application of standard variational methods to optimal control Generalized optimal control References Index.

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