On moment theory and controllability of one-dimensional vibrating systems and heating processes

The main concern of this book is the application of infinite moment theory to the problem of controllability of one-di- mensional vibrating systems (like strings and beams) and heating processes. Distributed as well as boundary control is considered. In the case of vibrating systems trigonometric mo...

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Autor principal: Krabs, Werner, 1934-
Format: Livre numérique
Idioma:Anglais
Publicat: Berlin ; Paris [etc.] : Springer-Verlag : Springer e-books [20..].
Cham : Springer Nature
Col·lecció:Lecture notes in control and information sciences 173
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Edition sous un autre format:• On moment theory and controllability of one-dimensional vibrating systems and heating processes, W. Krabs, Berlin, Springer-Verlag, 1992, 1 vol. (vii, 174 p.), Lecture notes in control and information sciences, 0-387-55102-6
• On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes, Texte imprimé, 9783662164457
Descripció
Sumari:The main concern of this book is the application of infinite moment theory to the problem of controllability of one-di- mensional vibrating systems (like strings and beams) and heating processes. Distributed as well as boundary control is considered. In the case of vibrating systems trigonometric moment pro- blems are to be investigated which is done on the basis of an abstract moment theory in Hilbert spaces. Equivalently, alsothe theory of linear operator equations on Hilbert spa- ces ( partly with unbounded operators) is applied to the problem of controllability and time-minimal controllability. In the case of heating processes exponential moment problems are to be dealt with which is done on the basis of an ab- stract moment theory in Banach spaces. Time-minimal control- lability is also treated with the aid of the theory of line- aroperator equations on Banach spaces. Some advanced knowledge in functional analyis and on partial differential equations is preassumed for a fluent reader of the book, but parts of it are also readable with basic ma- thematical knowledge (for instance, the finite-dimensional part of the introduction).
Descripció de l’ítem:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540466963 (PDF)
ISSN:1610-7411
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