Lecture Notes in Control and Information Sciences
1 primary work
Book 173
On Moment Theory and Controllability of One-Dimensional Vibrating Systems and Heating Processes
by Werner Krabs
Published 30 March 1992
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).