Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems
eBook - PDF

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Continuous and Approximation Theories

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eBook - PDF

Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems

Continuous and Approximation Theories

Book details
Table of contents
Citations

About This Book

Originally published in 2000, this is the first volume of a comprehensive two-volume treatment of quadratic optimal control theory for partial differential equations over a finite or infinite time horizon, and related differential (integral) and algebraic Riccati equations. Both continuous theory and numerical approximation theory are included. The authors use an abstract space, operator theoretic approach, which is based on semigroups methods, and which is unifying across a few basic classes of evolution. The various abstract frameworks are motivated by, and ultimately directed to, partial differential equations with boundary/point control. Volume 1 includes the abstract parabolic theory for the finite and infinite cases and corresponding PDE illustrations as well as various abstract hyperbolic settings in the finite case. It presents numerous fascinating results. These volumes will appeal to graduate students and researchers in pure and applied mathematics and theoretical engineering with an interest in optimal control problems.

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Yes, you can access Control Theory for Partial Differential Equations: Volume 1, Abstract Parabolic Systems by Irena Lasiecka,Roberto Triggiani in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Cambridge University Press
Year
2000
ISBN
9781107266254
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Series Page
  3. Dedication
  4. Title
  5. Copyright
  6. Contents
  7. Preface
  8. 0 Background
  9. 1 Optimal Quadratic Cost Problem Over a Preassigned Finite Time Interval: Differential Riccati Equation
  10. 2 Optimal Quadratic Cost Problem over an Infinite Time Interval: Algebraic Riccati Equation
  11. 3 Illustrations of the Abstract Theory of Chapters 1 and 2 to Partial Differential Equations with Boundary/Point Controls
  12. 4 Numerical Approximations of Algebraic Riccati Equations
  13. 5 Illustrations of the Numerical Theory of Chapter 4 to Parabolic-Like Boundary/Point Control PDE Problems
  14. 6 Min-Max Game Theory over an Infinite Time Interval and Algebraic Riccati Equations
  15. Index