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

The main concern of this book is the application of infinitemoment theory to the problem of controllability of one-di-mensional vibrating systems (like strings and beams) andheating processes. Distributed as well as boundary controlis considered.In the case of vibrating systems trigonometric moment pro-blems are to be investigated which is done on the basis ofan abstract moment theory in Hilbert spaces. Equivalently,alsothe theory of linear operator equations on Hilbert spa-ces ( partly with unbounded operators) is applied to theproblem of controllability and time-minimal controllability.In the case of heating processes exponential moment problemsare 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 partialdifferential equations is preassumed for a fluent reader ofthe book, but parts of it are also readable with basic ma-thematical knowledge (for instance, the finite-dimensionalpart of the introduction).

List of contents

Introduction: Finite-dimensional linear control systems and an outline of infinite-dimensional linear control problems.- Optimal damping of vibrations.- Optimal control of heating processes.

Product details

• Authors: Werner Krabs
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 15.10.2013
• EAN: 9783540551027
• ISBN: 978-3-540-55102-7
• No. of pages: 177
• Dimensions: 166 mm x 243 mm x 13 mm
• Weight: 334 g
• Illustrations: VII, 177 p. 1 illus.
• Series: Lecture Notes in Control and Information Sciences; Lecture Notes in Control and Information Sciences
• Subject: Natural sciences, medicine, IT, technology > Technology > Electronics, electrical engineering, communications engineering