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121227s1992 gw | s |||| 0|eng d |
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|a 9783540466963
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|a 10.1007/BFb0039513
|2 doi
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|a (DE-He213)978-3-540-46696-3
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|a Krabs, Werner.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
|h [electronic resource] /
|c by Werner Krabs.
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|a 1st ed. 1992.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1992.
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|a VII, 177 p. 1 illus.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Lecture Notes in Control and Information Sciences,
|x 0170-8643 ;
|v 173
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|a Springer eBook Collection
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|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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|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).
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|a Loaded electronically.
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|a Electronic access restricted to members of the Holy Cross Community.
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|a Control engineering.
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|a Robotics.
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|a Mechatronics.
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|a System theory.
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|a Calculus of variations.
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|a Electronic resources (E-books)
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|a SpringerLink (Online service)
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|a Lecture Notes in Control and Information Sciences,
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|v 173
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|a Springer eBook Collection.
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|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/BFb0039513
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