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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 publié
Date
1990
Journal name
Acta Applicandae Mathematicae
Volume
20
Number
3
Publisher
Springer
Pages
197-229
Publication identifier
Metadata
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Author(s)
Bensoussan, Alain
Abstract (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 equation