Abstract
Which functions can be final states of a system described by a homogeneous parabolic differential equation? For inhomogeneous boundary conditions this is the problem of characterizing the set R of states reachable by boundary control. We construct more spaces of reachable states. In particular we can show that this question is "independent" of the eigenfunctions and eigenvalues of the corresponding elliptic problem.
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© 1987 International Federation for Information Processing
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Weck, N. (1987). Null controllability and exact controllability for parabolic equations. In: Lasiecka, I., Triggiani, R. (eds) Control Problems for Systems Described by Partial Differential Equations and Applications. Lecture Notes in Control and Information Sciences, vol 97. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0038769
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DOI: https://doi.org/10.1007/BFb0038769
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