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SpringerBriefs in Optimization

Infinite-Horizon Optimal Control in the Discrete-Time Framework

Authors: Blot, Joël, Hayek, Naïla

  • ​​​​​​​Examines the Pontryagin principle using a Karush-Kuhn-Tucker theorem in ordered Banach spaces
  • Includes findings on the finite-horizon setting based on the Boltyanski and Michel results
  • Uses various tools of nonlinear functional analysis to analyze the first Pontryagin principle​ ​
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  • ISBN 978-1-4614-9038-8
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  • ISBN 978-1-4614-9037-1
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About this book

​​​​In this book the authors take a rigorous look at the infinite-horizon discrete-time optimal control theory from the viewpoint of Pontryagin’s principles. Several Pontryagin principles  are described which govern systems and various criteria which define the notions of optimality, along with a detailed analysis of how each Pontryagin principle relate to each other. The Pontryagin principle is examined in a stochastic setting and results are given which generalize Pontryagin’s principles to multi-criteria problems. ​Infinite-Horizon Optimal Control in the Discrete-Time Framework  is aimed toward researchers and PhD students in various scientific fields such as mathematics, applied mathematics, economics, management, sustainable development (such as, of fisheries and of forests), and  Bio-medical sciences who are drawn to infinite-horizon discrete-time optimal control problems.

Reviews

From the reviews:

“This book essentially ‘examines the Pontryagin principle using a Karush-Kuhn-Tucker theorem in ordered Banach spaces’ for finite-horizon setting based on the results of Boltyanski and Michel results. … is aimed at researchers and doctoral students in a variety of disciplines such as pure and applied mathematics, economics, management, engineering … . This volume is a welcome addition to the classic book … .” (D. Subbaram Naidu, Amazon.com, April, 2014)

Table of contents (4 chapters)

  • Presentation of the Problems and Tools of the Finite Horizon

    Blot, Joël (et al.)

    Pages 1-29

  • Infinite-Horizon Theorems

    Blot, Joël (et al.)

    Pages 31-62

  • The Special Case of the Bounded Processes

    Blot, Joël (et al.)

    Pages 63-89

  • Related Topics

    Blot, Joël (et al.)

    Pages 91-92

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-9038-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4614-9037-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Infinite-Horizon Optimal Control in the Discrete-Time Framework
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Joël Blot, Naïla Hayek
eBook ISBN
978-1-4614-9038-8
DOI
10.1007/978-1-4614-9038-8
Softcover ISBN
978-1-4614-9037-1
Series ISSN
2190-8354
Edition Number
1
Number of Pages
VII, 126
Topics