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Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations.

By: Contributor(s): Material type: TextTextSeries: Modern Birkhäuser Classics SeriesPublisher: Boston, MA : Birkhäuser Boston, 2008Copyright date: ©1997Edition: 1st edDescription: 1 online resource (588 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780817647551
Subject(s): Genre/Form: Additional physical formats: Print version:: Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman EquationsDDC classification:
  • 515/.64
LOC classification:
  • Q295
Online resources:
Contents:
Intro -- Modern Birkhäuser Classics -- Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations -- Copyright -- Contents -- Preface -- Basic notations -- CHAPTER I Outline of the main ideas on a model problem -- CHAPTER II Continuous viscosity solutions of Hamilton-Jacobi equations -- CHAPTER III Optimal control problems with continuous value functions: unrestricted state space -- CHAPTER IV Optimal control problems with continuous value functions: restricted state space -- CHAPTER V Discontinuous viscosity solutions and applications -- CHAPTER VI Approximation and perturbation problems -- CHAPTER VII Asymptotic problems -- CHAPTER VIII Differential Games -- APPENDIX A Numerical Solution of Dynamic Programming Equations -- APPENDIX B Nonlinear H∞ control -- Bibliography -- Index.
Summary: This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton-Jacobi type and its interplay with Bellman's dynamic programming approach to optimal control and differential games.
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Intro -- Modern Birkhäuser Classics -- Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations -- Copyright -- Contents -- Preface -- Basic notations -- CHAPTER I Outline of the main ideas on a model problem -- CHAPTER II Continuous viscosity solutions of Hamilton-Jacobi equations -- CHAPTER III Optimal control problems with continuous value functions: unrestricted state space -- CHAPTER IV Optimal control problems with continuous value functions: restricted state space -- CHAPTER V Discontinuous viscosity solutions and applications -- CHAPTER VI Approximation and perturbation problems -- CHAPTER VII Asymptotic problems -- CHAPTER VIII Differential Games -- APPENDIX A Numerical Solution of Dynamic Programming Equations -- APPENDIX B Nonlinear H∞ control -- Bibliography -- Index.

This softcover book is a self-contained account of the theory of viscosity solutions for first-order partial differential equations of Hamilton-Jacobi type and its interplay with Bellman's dynamic programming approach to optimal control and differential games.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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