On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes (Lecture Notes in Control and Information Sciences, 173, Band 173) - Softcover
Inhaltsangabe
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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Über die Autorin bzw. den Autor
Stefan Pickl ist seit 1980 Professor für Operations Research an der Universität der Bundeswehr München. Werner Krabs war Professor am Fachbereich Mathematik an der TU Darmstadt. Er wurde 1999 emeritiert.
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On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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). Artikel-Nr. 9783540551027
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On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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). Artikel-Nr. 24211594/202
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