The Sequential Quadratic Hamiltonian Method
eBook - ePub

The Sequential Quadratic Hamiltonian Method

Solving Optimal Control Problems

  1. 250 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

The Sequential Quadratic Hamiltonian Method

Solving Optimal Control Problems

About this book

The sequential quadratic hamiltonian (SQH) method is a novel numerical optimization procedure for solving optimal control problems governed by differential models. It is based on the characterisation of optimal controls in the framework of the Pontryagin maximum principle (PMP).

The SQH method is a powerful computational methodology that is capable of development in many directions. The Sequential Quadratic Hamiltonian Method: Solving Optimal Control Problems discusses its analysis and use in solving nonsmooth ODE control problems, relaxed ODE control problems, stochastic control problems, mixed-integer control problems, PDE control problems, inverse PDE problems, differential Nash game problems, and problems related to residual neural networks.

This book may serve as a textbook for undergraduate and graduate students, and as an introduction for researchers in sciences and engineering who intend to further develop the SQH method or wish to use it as a numerical tool for solving challenging optimal control problems and for investigating the Pontryagin maximum principle on new optimisation problems.

Features

  • Provides insight into mathematical and computational issues concerning optimal control problems, while discussing many differential models of interest in different disciplines.
  • Suitable for undergraduate and graduate students and as an introduction for researchers in sciences and engineering.
  • Accompanied by codes which allow the reader to apply the SQH method to solve many different optimal control and optimisation problems.

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Yes, you can access The Sequential Quadratic Hamiltonian Method by Alfio Borzì in PDF and/or ePUB format, as well as other popular books in Mathématiques & Opérations. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Series Page
  4. Title Page
  5. Copyright Page
  6. Dedication Page
  7. Contents
  8. Preface
  9. Author
  10. 1 Optimal Control Problems with ODEs
  11. 2 The Sequential Quadratic Hamiltonian Method
  12. 3 Optimal Relaxed Controls
  13. 4 Differential Nash Games
  14. 5 Deep Learning in Residual Neural Networks
  15. 6 Control of Stochastic Models
  16. 7 PDE Optimal Control Problems
  17. 8 Identification of a Diffusion Coefficient
  18. A Results of Analysis
  19. Bibliography
  20. Index