On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes (Lecture Notes in Control and Information Sciences, 173)

Krabs, Werner

ISBN 10: 3540551026 / ISBN 13: 9783540551027

Published by Springer, 1992

About this Item

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Bibliographic Details

• Title: On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes (Lecture Notes in Control and Information Sciences, 173)
• Publisher: Springer
• Publication Date: 1992
• Language: English
• ISBN 10: 3540551026
• ISBN 13: 9783540551027
• Binding: Soft cover
• Condition: good

About this title

Synopsis

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).