Nonsmooth Analysis and Control Theory

Francis H. Clarke

ISBN 10: 1475771673 / ISBN 13: 9781475771671

Verlag: Springer New York, Springer US Mär 2013, 2013

Beschreibung

Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 296 pp. Englisch.

Bestandsnummer des Verkäufers 9781475771671

Bibliografische Details

• Titel: Nonsmooth Analysis and Control Theory
• Verlag: Springer New York, Springer US Mär 2013
• Erscheinungsjahr: 2013
• Sprache: Englisch
• ISBN-10: 1475771673
• ISBN-13: 9781475771671
• Einband: Taschenbuch
• Zustand: Neu
• Abmessungen: 235B x 155 H x 17 T Millimeter Breite: 235 mm, Höhe: 155 mm, Tiefe: 17 mm
• Gewicht: 452 Gramm

Über diesen Titel

Inhaltsangabe

This volume presents the essentials of nonsmooth analysis clearly and succinctly, together with some of its applications and a generous supply of interesting exercises. It begins with an introductory chapter 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. The last chapter is a self-contained introduction to the theory of control of ordinary differential equations.

Reseña del editor

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.