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Variational optimal-control problems with delayed arguments on time scales. (English) Zbl 1184.49023
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:
49K15Optimal control problems with ODE (optimality conditions)
34N05Dynamic equations on time scales or measure chains
34H05ODE in connection with control problems
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