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IMA Journal of Mathematical Control and Information 1993 10(2):113-129; doi:10.1093/imamci/10.2.113
© 1993 by Institute of Mathematics and its Applications
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Optimal control of parabolic systems with time-varying lags

ADAM KOWALEWSKI

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

Various optimal control problems for linear parabolic systems with time-varying lags are considered. Necessary and sufficient conditions of optimality are derived for the Neumann problem. The optimal control is obtained in the feedback form. Making use of the results of Schwart's, the representation of the optimal feedback control is given.


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