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Optimal control and...
Optimal control and the fibonacci sequence
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- von Brasch, Thomas (författare)
- Statistisk sentralbyrå,Research Department, Unit for Macroeconomics, Statistics Norway, Oslo, Norway;Department of International Economics, NUPI, Oslo, Norway
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- Byström, Johan (författare)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Lystad, Lars Petter (författare)
- Department of Technology, Narvik University College, Narvik, Norway
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(creator_code:org_t)
- Oslo : Statistics Norway, 2012
- Engelska 33 s.
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Ingår i: Journal of Optimization Theory and Applications. - Oslo : Statistics Norway. - 0022-3239 .- 1573-2878. ; 154:3, s. 857-878
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Abstract
Ämnesord
Stäng
- We bridge mathematical number theory with that of optimal control and show that a generalised Fibonacci sequence enters the control function of finite horizon dynamic optimisation problems with one state and one control variable. In particular, we show that the recursive expression describing the first-order approximation of the control function can be written in terms of a generalised Fibonacci sequence when restricting the final state to equal the steady state of the system. Further, by deriving the solution to this sequence, we are able to write the first-order approximation of optimal control explicitly. Our procedure is illustrated in an example often referred to as the Brock-Mirman economic growth model.
Ämnesord
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Nyckelord
- Fibonacci sequence
- Optimal control
- Matematik
- Mathematics
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- vet (ämneskategori)
- rap (ämneskategori)
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