Nonsmooth Analysis and Control Theory / Edition 1

by Francis H. Clarke, Yuri S. Ledyaev, Ronald J. Stern, Peter R. Wolenski, Yu S. Ledyaev, P. R. Wolenski, R. J. Stern, Y. S. Ledyaev

Overview

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.

Product Details

ISBN-13:	9780387983363
Publisher:	Springer New York
Publication date:	12/19/1997
Series:	Graduate Texts in Mathematics Series , #178
Edition description:	1998
Pages:	278
Product dimensions:	6.14(w) x 9.21(h) x 0.36(d)

Table of Contents

Preface.- Introduction.- Proximal Calculus in Hilbert Space.- Generalized Gradients in Hilbert Space.- Special Topics.- A Short Course in Control Theory.- Notes and Comments.- List of Notation.- References.- Index.