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On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
Angleščina
118 b
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933.53
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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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