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

Krabs, Werner

ISBN 10: 3540551026 / ISBN 13: 9783540551027

Editore: Springer 1992-03, 1992

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Codice articolo 6666-IUK-9783540551027

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Titolo: On Moment Theory and Controllability of ...

Casa editrice: Springer 1992-03

Data di pubblicazione: 1992

Legatura: PF

Condizione: New

Descrizione articolo

Riassunto:

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).

Contenuti:

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