Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems
Proceedings of the 10th International Conference, Sophia-Antipolis, France, June 9-12, 1992
Published on 20. January 1993
Book
Paperback/Softback
XIII, 648 pages
978-3-540-56155-2 (ISBN)
Description
This volume contains the proceedings of the conference
"state and Frequency Domain Approaches to
Infinite-Dimensional Systems". The aim was to bring together
engineers and mathematicians working in the field of linear
infinite-dimensional systems who are specialists in one or
more of the following categories of mathematical approaches:
semigroup approches,p.d.e. approaches, frequency domain
approaches and syntheses of state-space and frequency domain
approaches. Since these approaches use very different
sophisticated mathematical techniques, it is unusual for a
scientist to be expert in all of them. On the other hand,
there different approaches all purport to address the same
control problems for the same classes of linear
infinite-dimensional systems. It is therefore important to
compare and discuss the advantages and disadvantages of
these different mathematical techniques. To help ameliorate
the communication gab a series of introductory tutorial
lectures were given by specialists in the above-mentioned
fields. There were complemented by some key survey papers on
more recent research, as well as by papers representing
original research in these areas.
"state and Frequency Domain Approaches to
Infinite-Dimensional Systems". The aim was to bring together
engineers and mathematicians working in the field of linear
infinite-dimensional systems who are specialists in one or
more of the following categories of mathematical approaches:
semigroup approches,p.d.e. approaches, frequency domain
approaches and syntheses of state-space and frequency domain
approaches. Since these approaches use very different
sophisticated mathematical techniques, it is unusual for a
scientist to be expert in all of them. On the other hand,
there different approaches all purport to address the same
control problems for the same classes of linear
infinite-dimensional systems. It is therefore important to
compare and discuss the advantages and disadvantages of
these different mathematical techniques. To help ameliorate
the communication gab a series of introductory tutorial
lectures were given by specialists in the above-mentioned
fields. There were complemented by some key survey papers on
more recent research, as well as by papers representing
original research in these areas.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
54
23 s/w Tabellen, 54 s/w Abbildungen
54 illustrations, 23 tables
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
985 gr
ISBN-13
978-3-540-56155-2 (9783540561552)
DOI
10.1007/BFb0115017
Schweitzer Classification
Persons
Content
to semigroup theory.- Riccati equations arising from boundary and point control problems.- A state-space approach to H ?-control problems for infinite-dimensional systems.- Infinite dimensional system transfer functions.- Stabilization and regulation of infinite-dimensional systems using coprime factorizations.- Robust controllers for infinite-dimensional systems.- Control for hyperbolic equations.- An introduction to the hilbert uniqueness method.- The nehari problem and optimal hankel norm approximation.- Topological approaches to robustness.- Frequency domain methods for the H ?-Optimization of distributed systems.- Disturbance decoupling problem for infinite-dimensional systems.- Simultaneous triangular-decoupling, disturbance-rejection and stabilization problem for infinite-dimensional systems.- Robust stability radii for distributed parameter systems: A survey.- Solutions of the ARE in terms of the hamiltonian for riesz-spectral systems.- Regional controllability of distributed systems.- On filtering of the hilbert space-valued stochastic process over discrete-continuous observations.- Boundary stabilization of rotating flexible systems.- Frequency domain methods for proving the uniform stability of vibrating systems.- The well-posedness of accelerometer control systems.- Comparison of robustly stabilizing controllers for a flexible beam model with additive, multiplicative and stable factor perturbations.- On the stability uniformity of infinite-dimensional systems.- High frequency asymptotic approach for incomplete spectral and local controllability.- Modelling and controllability of plate-beam systems.- A simple viscoelastic damper model - Application to a vibrating string.- Controllability of a rotating beam.- Min-Max game theory for a class of boundary control problems.- Microlocal methods in the analysis of the boundary element method.- Stochastic control approach to the control of a forward parabolic equation, reciprocal process and minimum entropy.- Observability of hyperbolic systems with interior moving sensors.- Controllability of a multi-dimensional system of schrödinger equations: Application to a system of plate and beam equations.- Decay of solutions of the wave equation with nonlinear boundary feedback.- Boundary approximate controllability for semilinear heat equations.- On the stabilization of the wave equation.- The hankel singular values of a distributed delay line a fredholm equation approach.- Rational approximation of the transfer function of a viscoelastic rod.- Some extremal problems linked with indentification from partial frequency data.- Approximation of infinite dimensional discrete time linear systems via balanced realizations and an application to fractional filters.- A "relaxation" approach for the hankel approximation of some vibrating structures.- Numerical methods for H ? control of distributed parameter systems.- Robust controller design for uncertain time delay systems.- Parameter identification of large spacecraft systems based on frequency characteristics.- On the optimal minimax tuning of controllers for distributed parameter systems.