Infinite Horizon Optimal Control: Deterministic and Stochastic Systems
- ISBN-10
- 3642767559
- ISBN-13
- 9783642767555
- Category
- Business & Economics
- Pages
- 332
- Language
- English
- Published
- 2012-12-06
- Publisher
- Springer Science & Business Media
- Authors
- Dean A. Carlson, Alain B. Haurie, Arie Leizarowitz
Description
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 hori 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 treat ment of these models as well as optimization theory in general.
Get the book
Other editions
-
- 2013-06-29
- 259 pages
- Ebook
- Springer Science & Business Media
Similar books
-
Taxation for Decision Makers, Binder Ready Version
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 8.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Taxation for Decision Makers, 2019 Edition
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 9.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Taxation for Decision Makers, 2020
By Shirley Dennis-Escoffier, Karen A. Fortin[LO 9.2] The Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $4,500,000. The property has a basis of ...
-
Keeping House in Lusaka
By Karen Tranberg Hansen1934. Memorandum on the Native Tribes and Tribal Areas of Northern Rhodesia . Lusaka : Government Printer . Timberlake , Michael , ed . 1985.
-
Encyclopedia of Community: From the Village to the Virtual World
By DAVID LEVINSON, KAREN CHRISTENSENTimberlake, L. (1987). Only one Earth. London: BBC Books: Earthscan. Tinker, I. (1987). Street foods: Testing assumptions about informal sector by women and ...
-
Taxation for Decision Makers 2006
By Shirley Dennis-Escoffier, Karen FortinThe Timberlake Corporation has an opportunity to sell its manufacturing facility to Carroll Corporation for $ 4,500,000 . The property has a basis of ...
-
Handbook of Organizational Performance: Behavior Analysis and Management
By William K Redmon, Thomas C Mawhinney, Carl Merle JohnsonTimberlake (1980, 1984) promulgated a behavioral-regulation analysis of learned performance that emphasizes the importance of behavioral.
-
Money and the Rule of Law: Generality and Predictability in Monetary Institutions
By Peter J. Boettke, Alexander William Salter, Daniel J. Smith190; Timberlake 1993, pp. 356–357). By increasing fiscal expenditures, President Carter may have successfully cornered the Fed into delaying tighter ...
-
Economic Politics: The Costs of Democracy
By William R. Keech, William R Keech( Timberlake , 1993 , p . 4 ) The same was true of the second Bank of the United States , which was chartered in 1816. However , under the leadership of ...
-
Handbook of Organizational Performance: Behavior Analysis and Management
By William K Redmon, Thomas C Mawhinney, Carl Merle JohnsonSchlinger, H. and Blakely, E. (1987). Function-altering effects of ... Timberlake, W. and Allison, J. (1974). Response deprivation: An empirical 48 HANDBOOK ...