Infinite Dimensional Optimization and Control Theory
eBook - PDF

Infinite Dimensional Optimization and Control Theory

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Infinite Dimensional Optimization and Control Theory

Book details
Table of contents
Citations

About This Book

This book is on existence and necessary conditions, such as Potryagin's maximum principle, for optimal control problems described by ordinary and partial differential equations. These necessary conditions are obtained from Kuhn–Tucker theorems for nonlinear programming problems in infinite dimensional spaces. The optimal control problems include control constraints, state constraints and target conditions. Evolution partial differential equations are studied using semigroup theory, abstract differential equations in linear spaces, integral equations and interpolation theory. Existence of optimal controls is established for arbitrary control sets by means of a general theory of relaxed controls. Applications include nonlinear systems described by partial differential equations of hyperbolic and parabolic type and results on convergence of suboptimal controls.

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Yes, you can access Infinite Dimensional Optimization and Control Theory by Hector O. Fattorini in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
1999
ISBN
9781107108486
Topic
Mathematics
Subtopic
Differential Equations
Index
Mathematics

Table of contents

  1. Cover
  2. Series Page
  3. Title
  4. Copyright
  5. Dedication
  6. FOREWORD
  7. Part I Finite Dimensional Control Problems
  8. Part II Infinite Dimensional Control Problems
  9. Part III Relaxed Controls
  10. REFERENCES
  11. NOTATION AND SUBJECT INDEX