On moment theory and controllability of one-dimensional vibrating systems and heating processes
著者
書誌事項
On moment theory and controllability of one-dimensional vibrating systems and heating processes
（Lecture notes in control and information sciences, 173）
Springer-Verlag, c1992
- : us
- : gw
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注記
Includes bibliographical references
内容説明・目次
内容説明
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).
目次
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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