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Functional Analysis and Control Theory

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Release : 2013-06-29
Genre : Mathematics
Kind : eBook
Book Rating : 587/5 ( reviews)

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Book Synopsis Functional Analysis and Control Theory by : S. Rolewicz

Download or read book Functional Analysis and Control Theory written by S. Rolewicz. This book was released on 2013-06-29. Available in PDF, EPUB and Kindle. Book excerpt: Approach your problems from the right It isn't that they can't see the solution. end and begin with the answers. Then, It is that they can't see the problem. one day, perhaps you will find the final G.K. Chesterton, The Scandal of Fa question. ther Brown 'The point of a Pin'. 'The Hermit Clad in Crane Feathers' in R. Van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of mono graphs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, cod ing theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical pro gramming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces.

Functional Analysis and Linear Control Theory

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Release : 2007-03-16
Genre : Technology & Engineering
Kind : eBook
Book Rating : 13X/5 ( reviews)

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Book Synopsis Functional Analysis and Linear Control Theory by : J. R. Leigh

Download or read book Functional Analysis and Linear Control Theory written by J. R. Leigh. This book was released on 2007-03-16. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: London; New York: Academic Press, 1980, in series: Mathematics in science and engineering; v. 156.

Functional Analysis and Control Theory

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Release : 1987
Genre : Control theory
Kind : eBook
Book Rating : 151/5 ( reviews)

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Book Synopsis Functional Analysis and Control Theory by : Stefan Rolewicz

Download or read book Functional Analysis and Control Theory written by Stefan Rolewicz. This book was released on 1987. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis, Calculus of Variations and Optimal Control

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Release : 2013-02-06
Genre : Mathematics
Kind : eBook
Book Rating : 207/5 ( reviews)

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Book Synopsis Functional Analysis, Calculus of Variations and Optimal Control by : Francis Clarke

Download or read book Functional Analysis, Calculus of Variations and Optimal Control written by Francis Clarke. This book was released on 2013-02-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonsmooth Analysis and Control Theory

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Release : 2008-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 257/5 ( reviews)

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Book Synopsis Nonsmooth Analysis and Control Theory by : Francis H. Clarke

Download or read book Nonsmooth Analysis and Control Theory written by Francis H. Clarke. This book was released on 2008-01-10. Available in PDF, EPUB and Kindle. Book excerpt: A clear and succinct presentation of the essentials of this subject, together with some of its applications and a generous helping of interesting exercises. Following an introductory chapter with a taste of what is to come, the next three chapters constitute a course in nonsmooth analysis and identify a coherent and comprehensive approach to the subject, leading to an efficient, natural, and powerful body of theory. The whole is rounded off with a self-contained introduction to the theory of control of ordinary differential equations. The authors have incorporated a number of new results which clarify the relationships between the different schools of thought in the subject, with the aim of making nonsmooth analysis accessible to a wider audience. End-of-chapter problems offer scope for deeper understanding.

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