ENGLISH

Functional Analysis, Calculus of Variations and Optimal Control

By Francis Clarke

Book information

Publisher
Springer Science & Business Media
Year
2013
ISBN
9781447148203, 1447148207
Language
english
Format
EPUB
Filesize
6 MB (6665529 bytes)
Pages
591\0
Time added
2020-07-10 18:49:20

Description

Functional analysis owes much of its early impetus to problems that arise in the calculus of variations. In turn, the methods developed there have been applied to optimal control, an area that also requires new tools, such as nonsmooth analysis. This self-contained textbook gives a complete course on all these topics. It is written by a leading specialist who is also a noted expositor. This book provides a thorough introduction to functional analysis and includes many novel elements as well as the standard topics. A short course on nonsmooth analysis and geometry completes the first half of the book whilst the second half concerns the calculus of variations and optimal control. The author provides a comprehensive course on these subjects, from their inception through to the present. A notable feature is the inclusion of recent, unifying developments on regularity, multiplier rules, and the Pontryagin maximum principle, which appear here for the first time in a textbook. Other major themes include existence and Hamilton-Jacobi methods. The many substantial examples, and the more than three hundred exercises, treat such topics as viscosity solutions, nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic trajectories, and systems theory. They also touch lightly upon several fields of application: mechanics, economics, resources, finance, control engineering. Functional Analysis, Calculus of Variations and Optimal Control is intended to support several different courses at the first-year or second-year graduate level, on functional analysis, on the calculus of variations and optimal control, or on some combination. For this reason, it has been organized with customization in mind. The text also has considerable value as a reference. Besides its advanced results in the calculus of variations and optimal control, its polished presentation of certain other topics (for example convex analysis, measurable selections, metric regularity, and nonsmooth analysis) will be appreciated by researchers in these and related fields.

Similar books

The arraignment and tryall with a declaration of the Ranters also, several sentences proceedings at the sessions in the Old-Baily, and Councel of War: their protestations and the hanging of one up by the thumbs; with divers penalties to be inflicted upon others. The dancing and revelling of Dr. Buckeridge and his wife, and other gent. dancing all in white, in Berkshire, and their Christmas carol. A dispute between a Ranter in Bridewel, and one that came to see him; with his creed and pater noster: and the names of the false gods they worship. As also, a list of many of the Ranters, from whence they are derived: and of many hundreds of them in England

The arraignment and tryall with a declaration of the Ranters also, several sentences proceedings at the sessions in the Old-Baily, and Councel of War: their protestations and the hanging of one up by the thumbs; with divers penalties to be inflicted upon others. The dancing and revelling of Dr. Buckeridge and his wife, and other gent. dancing all in white, in Berkshire, and their Christmas carol. A dispute between a Ranter in Bridewel, and one that came to see him; with his creed and pater noster: and the names of the false gods they worship. As also, a list of many of the Ranters, from whence they are derived: and of many hundreds of them in England

2019 · EPUB

The discoverer; vvherein is set forth (to undeceive the nation) the reall plots and stratagems of Lievt. Col. John Lilburn, Mr. William Walwyn, Mr. Thomas Prince, Mr. Richard Overton, and that partie ... Namely, under the pretence and colour of libertie ... a most dangerous and destructive designe is carried on to deprive the nation of their religion, rights, liberties, proprieties, lawes, government, &c. and to bring a totall and universall ruine upon the land. And so much is here clearely proved. The first part

The discoverer; vvherein is set forth (to undeceive the nation) the reall plots and stratagems of Lievt. Col. John Lilburn, Mr. William Walwyn, Mr. Thomas Prince, Mr. Richard Overton, and that partie ... Namely, under the pretence and colour of libertie ... a most dangerous and destructive designe is carried on to deprive the nation of their religion, rights, liberties, proprieties, lawes, government, &c. and to bring a totall and universall ruine upon the land. And so much is here clearely proved. The first part

2019 · EPUB

An act to impower Sir John Molesworth: Baronet, and Joseph Moyle, Esquire, Two of the surviving Trustees, in an Indenture, dated the Twenty-Fifth Day of December One thousand Seven hundred and Forty-Three, to raise the several Sums in the said Indenture mentioned, or such of them as are still unsatisfied, and pay the same, as well as the rest of the personal Estate of Hugh Gregor, deceased, to such Person as Jane Gregor, an Infant, shall marry during her Infancy, with the Consent of the surviving Trustees, and of her Guardians

An act to impower Sir John Molesworth: Baronet, and Joseph Moyle, Esquire, Two of the surviving Trustees, in an Indenture, dated the Twenty-Fifth Day of December One thousand Seven hundred and Forty-Three, to raise the several Sums in the said Indenture mentioned, or such of them as are still unsatisfied, and pay the same, as well as the rest of the personal Estate of Hugh Gregor, deceased, to such Person as Jane Gregor, an Infant, shall marry during her Infancy, with the Consent of the surviving Trustees, and of her Guardians

EPUB