Werner Krabs

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

• Broschiertes Buch

Produktbeschreibung

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 partialdifferentialequations 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).

Produktdetails

• Lecture Notes in Control and Information Sciences 173
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-55102-7
• 1992.
• Seitenzahl: 188
• Erscheinungstermin: 30. März 1992
• Englisch
• Abmessung: 244mm x 170mm x 11mm
• Gewicht: 334g
• ISBN-13: 9783540551027
• ISBN-10: 3540551026
• Artikelnr.: 29006291

Inhaltsangabe

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