Numerical solution of optimal control problems with constant control delays

Brandt-Pollmann, Ulrich; Winkler, Ralph; Sager, Sebastian; Moslener, Ulf; Schlöder, Johannes P. (2008). Numerical solution of optimal control problems with constant control delays. Computational Economics, 31(2), pp. 181-206. Springer 10.1007/s10614-007-9113-3

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We investigate a class of optimal control problems that exhibit constant exogenously given delays in the control in the equation of motion of the differential states. Therefore, we formulate an exemplary optimal control problem with one stock and one control variable and review some analytic properties of an optimal solution. However, analytical considerations are quite limited in case of delayed optimal control problems. In order to overcome these limits, we reformulate the problem and apply direct numerical methods to calculate approximate solutions that give a better understanding of this class of optimization problems. In particular, we present two possibilities to reformulate the delayed optimal control problem into an instantaneous optimal control problem and show how these can be solved numerically with a stateof- the-art direct method by applying Bock’s direct multiple shooting algorithm. We further demonstrate the strength of our approach by two economic examples.

Item Type:

Journal Article (Original Article)

Division/Institute:

03 Faculty of Business, Economics and Social Sciences > Department of Economics
10 Strategic Research Centers > Oeschger Centre for Climate Change Research (OCCR)

UniBE Contributor:

Winkler, Ralph

Subjects:

300 Social sciences, sociology & anthropology > 330 Economics

ISSN:

0927-7099

Publisher:

Springer

Language:

English

Submitter:

Ralph Winkler

Date Deposited:

21 Aug 2014 10:21

Last Modified:

17 Dec 2014 15:51

Publisher DOI:

10.1007/s10614-007-9113-3

BORIS DOI:

10.7892/boris.49830

URI:

https://boris.unibe.ch/id/eprint/49830

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