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on moment theory and controllability of one-dimensional vibrating systems and heating processes (en Inglés)
Werner Krabs
(Autor)
·
Springer
· Tapa Blanda
on moment theory and controllability of one-dimensional vibrating systems and heating processes (en Inglés) - Krabs, Werner
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Origen: Estados Unidos
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Reseña del libro "on moment theory and controllability of one-dimensional vibrating systems and heating processes (en Inglés)"
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).
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