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Calculus of Variations and Optimal Control - Mathematical Monographs

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Description

This comprehensive mathematical text develops the theory of Pontryagin minimum for problems in the calculus of variations, offering a distinctive approach that bridges classical theory with modern optimal control methods. The book presents a new theory of quadratic conditions for Pontryagin minimum, including coverage of broken extremals, and derives corresponding sufficient conditions for achieving strong minima. The work generalises several classical theorems from the calculus of variations, making it an essential reference for researchers and advanced students in applied mathematics, optimal control theory, and variational analysis. Published by the American Mathematical Society as part of their Translations of Mathematical Monographs series, this monograph combines rigorous mathematical development with practical applications for problems requiring optimisation techniques.

Key Features

Develops Pontryagin minimum theory specifically applied to calculus of variations problems with rigorous mathematical treatment.

Presents a new quadratic conditions theory for Pontryagin minimum that extends to broken extremals and generalises classical results.

Provides sufficient conditions for strong minima derived from the quadratic conditions framework.

Generalises classical theorems from the calculus of variations into modern optimal control contexts.

Published by American Mathematical Society in the Translations of Mathematical Monographs series for academic credibility.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
11 March 1999
Listed Since
17 December 2006

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