On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
Aus der Reihe
Lecture Notes in Control and Information Sciences
-
- Englisch ausgewählt
Fr. 72.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
30.03.1992
Abbildungen
VII, 177 p. 1 illus.
Verlag
Springer BerlinSeitenzahl
177
Maße (L/B/H)
24.4/17/1.1 cm
Gewicht
335 g
Sprache
Englisch
ISBN
978-3-540-55102-7
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).
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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