Functional Analysis, Calculus of Variations and Optimal Control

Author:   Francis Clarke
Publisher:   Springer London Ltd
Edition:   2013 ed.
Volume:   264
ISBN:  

9781447148197


Pages:   591
Publication Date:   06 February 2013
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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Functional Analysis, Calculus of Variations and Optimal Control


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Full Product Details

Author:   Francis Clarke
Publisher:   Springer London Ltd
Imprint:   Springer London Ltd
Edition:   2013 ed.
Volume:   264
Dimensions:   Width: 15.50cm , Height: 3.80cm , Length: 23.50cm
Weight:   1.127kg
ISBN:  

9781447148197


ISBN 10:   1447148193
Pages:   591
Publication Date:   06 February 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Normed Spaces.- Convex sets and functions.- Weak topologies.- Convex analysis.- Banach spaces.- Lebesgue spaces.- Hilbert spaces.- Additional exercises for Part I.- Optimization and multipliers.- Generalized gradients.- Proximal analysis.- Invariance and monotonicity.- Additional exercises for Part II.- The classical theory.- Nonsmooth extremals.- Absolutely continuous solutions.- The multiplier rule.- Nonsmooth Lagrangians.- Hamilton-Jacobi methods.- Additional exercises for Part III.- Multiple integrals.- Necessary conditions.- Existence and regularity.- Inductive methods.- Differential inclusions.- Additional exercises for Part IV.

Reviews

From the reviews: Each of the four parts the book, or selections of chapters, can be used for courses on different topics. ... Written by an expert in the field, with outstanding contributions to nonsmooth analysis, calculus of variations and optimal control, the present book, written in a live but rigorous style, will help the interested people to a smooth approach and a better understanding of this difficult subject in mathematics, both pure and applied, which is optimal control. (S. Cobzas, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 58 (2), 2013)


<p>From the reviews: Each of the four parts the book, or selections of chapters, can be used for courses on different topics. Written by an expert in the field, with outstanding contributions to nonsmooth analysis, calculus of variations and optimal control, the present book, written in a live but rigorous style, will help the interested people to a smooth approach and a better understanding of this difficult subject in mathematics, both pure and applied, which is optimal control. (S. Cobza, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 58 (2), 2013)


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