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                <editor>Fredi Tröltzsch</editor>
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                <term xml:lang="en">Optimal Structural control</term>
                <term xml:lang="en">Semigroups of bounded linear operators</term>
                <term xml:lang="en">Weak compactness</term>
                <term xml:lang="en">Countably additive operator valued measures</term>
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              <p>In this paper we present a brief review of some important results on weak compactness in the space of vector valued measures. We also review some recent results of the author on weak compactness of any set of operator valued measures. These results are then applied to optimal structural feedback control for deterministic systems on infinite dimensional spaces.</p>
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