On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes (Paperback)

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).

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Control and Information Sciences, 173
Release date:	March 1992
First published:	1992
Authors:	Werner Krabs
Dimensions:	244 x 170 x 10mm (L x W x T)
Format:	Paperback
Pages:	177
ISBN-13:	978-3-540-55102-7
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Professional & Technical > Mechanical engineering & materials > Mechanical engineering > Engines & power transmission > General Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General
LSN:	3-540-55102-6
Barcode:	9783540551027

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