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- Title
NEW RESULTS ON SEMICLOSEDNESS WITH ILLUSTRATION OF THE SOLUTION OF FEEDBACK CONTROL PROBLEMS.
- Authors
GHERBI, Abdellah; MESSERDI, Bekkai; MESSERDI, Sanaa
- Abstract
We study in this paper the concept of closable-semiclosed operators in a Hilbert space and their algebraic and topological structures are investigated. We establish a non-trivial correspondence between closable and semiclosed operators. We also provide some necessary and/or sufficient conditions under which semiclosed operaors are closable. Interesting examples are provided and as an illustration, we investigate existence and uniqueness of solutions of feedback control problems where the characteristic operator is semiclosed.
- Subjects
ALGEBRAIC spaces; TOPOLOGICAL spaces; HILBERT space; PSYCHOLOGICAL feedback
- Publication
Bulletin of the Transilvania University of Braşov: Series III Mathematics & Computer Science, 2022, Vol 64, Issue 2, p93
- ISSN
2810-2029
- Publication type
Article
- DOI
10.31926/but.mif.2022.2.64.2.8