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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:

93B05 Controllability
93C20 Control/observation systems governed by partial differential equations
93C05 Linear systems in control theory
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