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IMA Journal of Mathematical Control and Information 1990 7(2):143-157; doi:10.1093/imamci/7.2.143
© 1990 by Institute of Mathematics and its Applications
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Feedback Control of a Distributed Parabolic System with Boundary Condition Involving a Time-Varying Lag

ADAM KOWALEWSKI

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

In this paper, a feedback control problem for a distributed-parameter system with boundary condition involving a time-varying lag is considered. Neccessary and sufficient conditions for optimality are derived. The optimal control is obtained in feedback form. Estimates for the solutions of parabolic systems with specified forms of feedback control are established.


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