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A necessary and sufficient condition for the controllability of linear systems in Hilbert spaces and applications. (English) Zbl 1162.93007
It is considered a class of infinite-dimensional controlled linear evolutional equations in Hilbert space. The control function belongs to space of class L 2 . Because the general solution of homogeneous equation is the strongly continuous operator the control problem is solved by standard receipts using a complete set of eigenvectors, or by a set orthogonal projections in Hilbert space.
MSC:
93B05Controllability
93C05Linear control systems
93C25Control systems in abstract spaces