The variational maximum principle and second-order optimality conditions for impulse processes and singular processes. (English. Russian original) Zbl 0833.49015
Sib. Math. J. 35, No. 1, 65-76 (1994); translation from Sib. Mat. Zh. 35, No. 1, 70-82 (1994).
The author considers a class of optimal control problems that admit an impulse-trajectory extension, i.e., for processes with discontinuous trajectories and controls of impulse type. At first is studied correctness of constructive methods of extension which are based on special transformations of the initial problem and provide a characterization for impulse processes which does not relate to the transformation. Secondly, there are established necessary and sufficient optimality conditions for an impulse process which correspond the deciphering of the Pontryagin minimum conditions for the transformed problem in terms of the initial problem.
Reviewer: G.Aniculăesei (Iaşi)
MSC:
| 49K15 | Optimality conditions for problems involving ordinary differential equations |
| 49K20 | Optimality conditions for problems involving partial differential equations |
Keywords:
optimal control; impulse-trajectory extension; optimality conditions; impulse process; Pontryagin minimum conditionsReferences:
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