On moment theory and controllability of one-dimensional vibrating systems and heating processes

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 mo...

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Κύριος συγγραφέας: Krabs, Werner, 1934-
Μορφή: Livre numérique
Γλώσσα:Anglais
Έκδοση: Berlin ; Paris [etc.] : Springer-Verlag : Springer e-books [20..].
Cham : Springer Nature
Σειρά:Lecture notes in control and information sciences 173
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Σημείωση: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• On moment theory and controllability of one-dimensional vibrating systems and heating processes, W. Krabs, Berlin, Springer-Verlag, 1992, 1 vol. (vii, 174 p.), Lecture notes in control and information sciences, 0-387-55102-6
• On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes, Texte imprimé, 9783662164457
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245 1 0 |a On moment theory and controllability of one-dimensional vibrating systems and heating processes   |c W. Krabs. 
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505 0 |a Introduction: Finite-dimensional linear control systems and an outline of infinite-dimensional linear control problems -- Optimal damping of vibrations -- Optimal control of heating processes. 
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520 |a 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). 
650 |a Thermocinétique 
650 |a Vibrations 
650 |a Commande automatique 
650 |a Théorie de la commande 
650 |a Commande de processus 
650 |a Ingénierie 
650 |a Calcul des variations 
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