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  • © 2018

Estimation and Control of Dynamical Systems

Authors:

  • Provides a self-contained presentation that facilitates learning
  • Contains a chapter devoted to mathematical finance
  • Covers classical topics and more advanced research topics

Part of the book series: Interdisciplinary Applied Mathematics (IAM, volume 48)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xii
  2. Introduction

    • Alain Bensoussan
    Pages 1-4
  3. Optimal Control of Linear Dynamical Systems

    • Alain Bensoussan
    Pages 25-44
  4. Estimation Theory

    • Alain Bensoussan
    Pages 45-78
  5. Further Techniques of Estimation

    • Alain Bensoussan
    Pages 79-154
  6. Complements on Probability Theory

    • Alain Bensoussan
    Pages 155-167
  7. Filtering Theory in Continuous Time

    • Alain Bensoussan
    Pages 169-183
  8. Deterministic Optimal Control

    • Alain Bensoussan
    Pages 215-247
  9. Stochastic Optimal Control

    • Alain Bensoussan
    Pages 249-317
  10. Additional Results for BSDE

    • Alain Bensoussan
    Pages 319-350
  11. Stochastic Control Problems in Finance

    • Alain Bensoussan
    Pages 351-394
  12. Stochastic Control for Non-Markov Processes

    • Alain Bensoussan
    Pages 395-407
  13. Principal Agent Control Problems

    • Alain Bensoussan
    Pages 409-458
  14. Differential Games

    • Alain Bensoussan
    Pages 459-492
  15. Stackelberg Differential Games

    • Alain Bensoussan
    Pages 493-521
  16. Target Problems

    • Alain Bensoussan
    Pages 523-544
  17. Back Matter

    Pages 545-547

About this book

This book provides a comprehensive presentation of classical and advanced topics in estimation and control of dynamical systems with an emphasis on stochastic control.  Many aspects which are not easily found in a single text are provided, such as connections between control theory and mathematical finance, as well as differential games.

The book is self-contained and prioritizes concepts rather than full rigor, targeting scientists who want to use control theory in their research in applied mathematics, engineering, economics, and management science.  Examples and exercises are included throughout, which will be useful for PhD courses and graduate courses in general.

Dr. Alain Bensoussan is Lars Magnus Ericsson Chair at UT Dallas and Director of the  International Center for Decision and Risk Analysis which develops risk management research as it pertains to large-investment industrial projects that involve new technologies, applications and markets. He is also Chair Professor at City University Hong Kong.



Reviews

“This book is a great resource for graduate students and those who want to learn and understand stochastic control theory. It is also a great read for experts who want to gain a broader overview of the subject and wish to see connections between different techniques. … this is an excellent book and a great complement to the current offering in stochastic control.” (Jan Palczewski, SIAM Review, Vol. 62 (1), 2020)

Authors and Affiliations

  • International Center for Risk and Decision Analysis, Jindal School of Management, University of Texas at Dallas, Richardson, USA

    Alain Bensoussan

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access