Clarke / Ledyaev / Stern Nonsmooth Analysis and Control Theory

1998
ISBN: 978-0-387-22625-5
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 178, 278 Seiten, eBook

Reihe: Graduate Texts in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Clarke, Francis H.

Ledyaev, Yuri S.

Stern, Ronald J.

Wolenski, Peter R.

Inhaltsverzeichnis

Proximal Calculus in Hilbert Space.- Generalized Gradients in Banach Space.- Special Topics.- A Short Course in Control Theory.