On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes Contributor(s): Krabs, Werner (Author) |
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ISBN: 3540551026 ISBN-13: 9783540551027 Publisher: Springer
Binding Type: Paperback - See All Available Formats & Editions Published: March 1992 Click for more in this series: Lecture Notes in Control and Information Sciences |
Additional Information |
BISAC Categories: - Technology & Engineering | Robotics - Technology & Engineering | Electrical - Technology & Engineering | Automation |
Dewey: 629.8 |
LCCN: 91046030 |
Series: Lecture Notes in Control and Information Sciences |
Physical Information: 0.4" H x 6.69" W x 9.61" L (0.68 lbs) 177 pages |
Features: Bibliography, Illustrated, Index |
Descriptions, Reviews, Etc. |
Publisher Description: 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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