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IMA Journal of Mathematical Control and Information 1992 9(2):131-146; doi:10.1093/imamci/9.2.131
© 1992 by Institute of Mathematics and its Applications
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On some optimal control problem for a parabolic system with boundary condition involving a time-varying lag

ADAM KOWALEWSKI and JAN DUDA

Institue of Automatics, University of Mining and Metallurgy Al. Mickiewicza 30, 30-059 Cracow, Poland

An optimal boundary control problem for a distributed parabolic system with boundary condition involving a time-varying lag is considered. The initial condition of this equation is not given by a known function, but it belongs to a certain set. Necessary and sufficient conditions of optimality for the Neumann problem with the quadratic performance functional are derived. A numerical example of application is also presented.


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