On the general theory of exact controllability for skew symmetric operators
Bensoussan, Alain (1990), On the general theory of exact controllability for skew symmetric operators, Acta Applicandae Mathematicae, 20, 3, p. 197-229. http://dx.doi.org/10.1007/BF00049568
Type
Article accepté pour publication ou publiéDate
1990Journal name
Acta Applicandae MathematicaeVolume
20Number
3Publisher
Springer
Pages
197-229
Publication identifier
Metadata
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Bensoussan, AlainAbstract (EN)
We introduce a general formalism for linear evolution equations with skew adjoint operators. We make explicit the controllability operator as an expansion with respect to eigenfunctions. Using the fact that the eigenvalues are purely imaginary, we give sufficient controllability conditions. This approach is convenient for studying the asymptotic behaviour of the optimal control.Subjects / Keywords
controllability; control; wave equationRelated items
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