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Zbl 1184.49023
Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru
Variational optimal-control problems with delayed arguments on time scales.
(English)
[J] Adv. Difference Equ. 2009, Article ID 840386, 15 p. (2009). ISSN 1687-1847/e

Summary: This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and the quantum cases. Two examples in the discrete and quantum cases are analyzed to illustrate our results.
MSC 2000:
*49K15 Optimal control problems with ODE (nec./ suff.)
34N05
34H05 ODE in connection with control problems
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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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