Dedicated to Ciprian Foias on the occasion of his sixtieth birthday. ABSTRA( ;'1" This paper deal... more Dedicated to Ciprian Foias on the occasion of his sixtieth birthday. ABSTRA( ;'1" This paper deals with the two-block tI ~ control problem for distributed plants with finitely inanv unstable modes. VCe assume that weighting filters in the H" mixed-sensitivity problem are finite-dimensional. Then tile corresponding optilnal two-blc~.k problem can be solved by finding the Sehmidt pairs of a ttankel operator whose svmbol is of the tbrm m*(m~u +~) where u E Ntt ~. g, EII ~, and m 2 0~' , 11" and ,l I ~ tf ~ are inner; and the suboptimal two-bl(×'k problem can he solved Iw finding the solutions of certain functional equations very similar to the ones satisfied Iw the Schmit pairs of the aNwe-mentioned Hankel operator. In this paper a imified approach is proposed for solving both the optimal and suboptirrud two-blc×.k *
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Papers by O. Toker