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＜電子ブック＞
Nonsmooth Analysis and Control Theory / by Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski
(Graduate Texts in Mathematics. ISSN:21975612 ; 178)

版	1st ed. 1998.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	1998
本文言語	英語
大きさ	XIII, 278 p : online resource
著者標目	*Clarke, Francis H author Ledyaev, Yuri S author Stern, Ronald J author Wolenski, Peter R author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:System theory LCSH:Control theory FREE:Calculus of Variations and Optimization FREE:Systems Theory, Control
一般注記	Proximal Calculus in Hilbert Space -- Generalized Gradients in Banach Space -- Special Topics -- A Short Course in Control Theory 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 the relationships between the different schools of thought in the subject. Their goal is to make nonsmooth analysis accessible to a wider audience. In this spirit, the book is written so as to be used by anyone who has taken a course in functional analysis HTTP:URL=https://doi.org/10.1007/b97650

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