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ANALOG OF THE METHOD OF DIVIDING THE LAGRANGE MULTIPLIER TO SUMMANDS IN A BOUNDARY PROBLEM OF OPTIMAL CONTROL FOR GOURSAT – DARBOUX SYSTEMS

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We study a boundary problem of optimal control, described by a system of second-order hyperbolic equations with Goursat boundary conditions. A necessary optimality condition of the Pontryagin maximum principle type is established under the usual smoothness conditions for such problems. For the proof we use an analog of the scheme proposed in [8].
Title: ANALOG OF THE METHOD OF DIVIDING THE LAGRANGE MULTIPLIER TO SUMMANDS IN A BOUNDARY PROBLEM OF OPTIMAL CONTROL FOR GOURSAT – DARBOUX SYSTEMS
Description:
We study a boundary problem of optimal control, described by a system of second-order hyperbolic equations with Goursat boundary conditions.
A necessary optimality condition of the Pontryagin maximum principle type is established under the usual smoothness conditions for such problems.
For the proof we use an analog of the scheme proposed in [8].

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