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Titlebook: Nonsmooth Analysis and Control Theory; F. H. Clarke,Yu. S. Ledyaev,R. R. Wolenski Book 1998 Springer Science+Business Media New York 1998

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书目名称Nonsmooth Analysis and Control Theory
编辑F. H. Clarke,Yu. S. Ledyaev,R. R. Wolenski
视频video
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Nonsmooth Analysis and Control Theory;  F. H. Clarke,Yu. S. Ledyaev,R. R. Wolenski Book 1998 Springer Science+Business Media New York 1998
描述In the last decades the subject of nonsmooth analysis has grown rapidly due to the recognition that nondifferentiable phenomena are more widespread, and play a more important role, than had been thought. In recent years, it has come to play a role in functional analysis, optimization, optimal design, mechanics and plasticity, differential equations, control theory, and, increasingly, in analysis. This volume presents the essentials of the subject clearly and succinctly, together with some of its applications and a generous supply of interesting exercises. The book begins with an introductory chapter which gives the reader a sampling of what is to come while indicating at an early stage why the subject is of interest. 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, yet powerful body of theory. The last chapter, as its name implies, is a self-contained introduction to thetheory of control of ordinary differential equations. End-of-chapter problems also offer scope for deeper understanding. The authors have incorporated in the text a number of new results which clarify
出版日期Book 1998
关键词Banach Space; Hilbert space; calculus; cognition; differential equation; functional analysis; linear optim
版次1
doihttps://doi.org/10.1007/b97650
isbn_softcover978-1-4757-7167-1
isbn_ebook978-0-387-22625-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1998
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Generalized Gradients in Banach Space, proceed to relate the generalized gradient to the constructs of the preceding chapter when . is a Hilbert space. Finally, we derive a useful limiting-gradient characterization when the underlying space is finite dimensional.
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refore . of the organization, that is, their values have always to be chosen. On the other hand, it is a commonplace of everyday observation and of studies of organization that the difficulty of arranging that a potential decision variable be recognized as such may be much greater than that of choos
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