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Books > Reference & Interdisciplinary > Communication studies > Information theory > Cybernetics & systems theory
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Representation and Control of Infinite Dimensional Systems (Paperback, Softcover reprint of the original 1st ed. 1993)
Loot Price: R1,561
Discovery Miles 15 610
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Representation and Control of Infinite Dimensional Systems (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Systems & Control: Foundations & Applications
Expected to ship within 10 - 15 working days
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The quadratic cost optimal control problem for systems described by
linear ordinary differential equations occupies a central role in
the study of control systems both from the theoretical and design
points of view. The study of this problem over an infinite time
horizon shows the beautiful interplay between optimality and the
qualitative properties of systems such as controllability,
observability and stability. This theory is far more difficult for
infinite-dimensional systems such as systems with time delay and
distributed parameter systems. In the first place, the difficulty
stems from the essential unboundedness of the system operator.
Secondly, when control and observation are exercised through the
boundary of the domain, the operator representing the sensor and
actuator are also often unbounded. The present book, in two
volumes, is in some sense a self-contained account of this theory
of quadratic cost optimal control for a large class of
infinite-dimensional systems. Volume I deals with the theory of
time evolution of controlled infinite-dimensional systems. It
contains a reasonably complete account of the necessary semigroup
theory and the theory of delay-differential and partial
differential equations. Volume II deals with the optimal control of
such systems when performance is measured via a quadratic cost. It
covers recent work on the boundary control of hyperbolic systems
and exact controllability. Some of the material covered here
appears for the first time in book form. The book should be useful
for mathematicians and theoretical engineers interested in the
field of control.
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