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Infinite dimensional systems is now an established area of
research. Given the recent trend in systems theory and in
applications towards a synthesis of time- and frequency-domain
methods, there is a need for an introductory text which treats both
state-space and frequency-domain aspects in an integrated fashion.
The authors' primary aim is to write an introductory textbook for a
course on infinite dimensional linear systems. An important
consideration by the authors is that their book should be
accessible to graduate engineers and mathematicians with a minimal
background in functional analysis. Consequently, all the
mathematical background is summarized in an extensive appendix. For
the majority of students, this would be their only acquaintance
with infinite dimensional systems.
Infinite dimensional systems is now an established area of
research. Given the recent trend in systems theory and in
applications towards a synthesis of time- and frequency-domain
methods, there is a need for an introductory text which treats both
state-space and frequency-domain aspects in an integrated fashion.
The authors' primary aim is to write an introductory textbook for a
course on infinite dimensional linear systems. An important
consideration by the authors is that their book should be
accessible to graduate engineers and mathematicians with a minimal
background in functional analysis. Consequently, all the
mathematical background is summarized in an extensive appendix. For
the majority of students, this would be their only acquaintance
with infinite dimensional systems.
Historically, one of the basic issues in control systems design has
been robustness: the ability of a controlled plant to withstand
variations in or lack of knowledge of its dynamics. Even if the
dynamics of a system are accurately known for purposes of
implementation, it is often desirable to design a control system
based on a simplified model. Consequently it is essential to be
able to guarantee a reasonable performance not only for the nominal
plant, but also for its neighbouring perturbations: this is the
issue of robustness. Since the beginning of this decade major
advances have been made in this area, notably using the H
-approach; this term is meant to cover the solution of sensitivity
reduction, approximation and model reduction, robustness and
related control design problems using the mathematics of Hardy
spaces and related areas in Harmonic Analysis. This book contains
the proceedings of the NATO Advanced Research Workshop on
"Modelling, Robustness and Sensitivity Reduction in Control
Systems," which was held at the University of Groningen, December
1986. Its aim was to explore the development of H -design
techniques and its ramifications in Systems Theory in a unified and
systematic way with the emphasis on recent advances and future
directions in this fast developing area. In particular the
following inter-related aspects were addressed: H -mathematical
foundations, model approximation and robustness in control design,
optimal sensitivity reduction, modelling and system identification
and signal processing.
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