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Controllability of Laguerre and Jacobi equations. (English) Zbl 1133.93007
Summary: We study the controllability of the controlled Laguerre equation and the controlled Jacobi equation. For each case, we find conditions which guarantee when such systems are approximately controllable on the interval [0,t 1 ]. Moreover, we show that these systems can never be exactly controllable.
MSC:
93B05Controllability
93C20Control systems governed by PDE
93C05Linear control systems