Infinite Horizon Optimal Control

Deterministic and Stochastic Systems

Authors: Carlson, Dean, Haurie, Alain B., Leizarowitz, Arie

Buy this book

eBook $109.00
price for Mexico (gross)
  • ISBN 978-3-642-76755-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for Mexico
  • ISBN 978-3-642-76757-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This monograph deals with various classes of deterministic and stochastic continuous time optimal control problems that are defined over unbounded time intervals. For these problems the performance criterion is described by an improper integral and it is possible that, when evaluated at a given admissible element, this criterion is unbounded. To cope with this divergence new optimality concepts, referred to here as overtaking optimality, weakly overtaking optimality, agreeable plans, etc. , have been proposed. The motivation for studying these problems arises primarily from the economic and biological sciences where models of this type arise naturally. Indeed, any bound placed on the time horiĀ­ zon is artificial when one considers the evolution of the state of an economy or species. The responsibility for the introduction of this interesting class of problems rests with the economists who first studied them in the modeling of capital accumulation processes. Perhaps the earliest of these was F. Ramsey [152] who, in his seminal work on the theory of saving in 1928, considered a dynamic optimization model defined on an infinite time horizon. Briefly, this problem can be described as a Lagrange problem with unbounded time interval. The advent of modern control theory, particularly the formulation of the famous Maximum Principle of Pontryagin, has had a considerable impact on the treatĀ­ ment of these models as well as optimization theory in general.

Table of contents (11 chapters)

  • Dynamical Systems with Unbounded Time Interval in Engineering, Ecology and Economics

    Carlson, Dean A. (et al.)

    Pages 1-19

  • Necessary Conditions and Sufficient Conditions for Optimality

    Carlson, Dean A. (et al.)

    Pages 20-31

  • Asymptotic Stability and the Turnpike Property in Some Simple Control Problems

    Carlson, Dean A. (et al.)

    Pages 32-43

  • Global Asymptotic Stability and Existence of Optimal Trajectories for Infinite Horizon Autonomous Convex Systems

    Carlson, Dean A. (et al.)

    Pages 44-82

  • The Reduction to Finite Rewards

    Carlson, Dean A. (et al.)

    Pages 83-124

Buy this book

eBook $109.00
price for Mexico (gross)
  • ISBN 978-3-642-76755-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for Mexico
  • ISBN 978-3-642-76757-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Infinite Horizon Optimal Control
Book Subtitle
Deterministic and Stochastic Systems
Authors
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-76755-5
DOI
10.1007/978-3-642-76755-5
Softcover ISBN
978-3-642-76757-9
Edition Number
2
Number of Pages
XVI, 332
Additional Information
The first edition was published in 1987 as volume 290 of the series Lecture Notes in Economics and Mathematical Systems
Topics