Sufficient conditions in free final time optimal control problems. A comment |
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Authors: | Atle Seierstad |
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Institution: | Institute of Economics, University of Oslo, Boks 1095, Blindern, Oslo 3, Norway |
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Abstract: | By an application of sufficient conditions, assume that an optimal pair (χτ(·), uτ(·)) and an adjoint function pτ(·) were found in the control problem in question with the final time τ fixed but arbitrary. Then a sufficient condition for one of these pairs, say , to be optimal in the corresponding free final time problem is that the Hamiltonian, with (χτ(t), uτ(τ?), pτ(τ), τ) inserted, is nonnegative (nonpositive) to the left (right) of . |
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