On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag |
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| Authors: | KOWALEWSKI ADAM; DUDA JAN |
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| Institution: |
Institue of Automatics, University of Mining and Metallurgy Al. Mickiewicza 30, 30-059 Cracow, Poland
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| Abstract: | An optimal boundary control problem for a distributed parabolicsystem with boundary condition involving a time-varying lagis considered. The initial condition of this equation is notgiven by a known function, but it belongs to a certain set.Necessary and sufficient conditions of optimality for the Neumannproblem with the quadratic performance functional are derived.A numerical example of application is also presented. |
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