Viability Theory / Edition 1

Viability Theory / Edition 1

by Jean-Pierre Aubin
     
 

"The book is a compendium of the state of knowledge about viability...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis…The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained." —Bulletin

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Overview

"The book is a compendium of the state of knowledge about viability...Mathematically, the book should be accessible to anyone who has had basic graduate courses in modern analysis and functional analysis…The concepts are defined and many proofs of the requisite results are reproduced here, making the present book essentially self-contained." —Bulletin of the AMS

"Because of the wide scope, the book is an ideal reference for people encountering problems related to viability theory in their research…It gives a very thorough mathematical presentation. Very useful for anybody confronted with viability constraints." —Mededelingen van het Wiskundig Genootschap

Product Details

ISBN-13:
9780817649098
Publisher:
Springer Verlag GmbH
Publication date:
06/01/2009
Series:
Modern Birkhuser Classics Series
Pages:
572
Product dimensions:
1.17(w) x 9.21(h) x 6.14(d)

Table of Contents

Introduction.- Outline of the Book.- 1 Viability Theorems for Ordinary and Shastic Differential Equations.- 2 Set-Valued Maps.- 3 Viability Theorems for Differential Inclusions.- 4 Viability Kernels and Exit Tubes.- 5 Invariance Theorems for Differential Inclusions.- 6 Regulation of Control Systems.- 7 Smooth and Heavy Viable Solutions.- 8 Partial Differential Inclusions of Tracking Problems.- 9 Lyapunov Functions.- 10 Miscellaneous Viability Issues.- 11 Viability Tubes.- 12 Functional Viability.- 13 Viability Theorems for Partial Differential Inclusions.- 14 Differential Games.- Bibliographical Comments.- Bibliography.- Index.

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