Table Of ContentISNM
International Series of Numerical Mathematics
Vol. 143
Managing Editors:
K.-H. Hoffmann, Munchen
D. Mittelmann, Tempe
Associate Editors:
R. E. Bank, La Jolla
H. Kawarada, Chiba
R. J. LeVeque, Seattle
C. Verdi, Milano
Honorary Editor:
J.Todd,Pasadena
Control and Estimation
of Distributed
Parameter Systems
International Conference in Maria Trost (Austria), July 15-21, 2001
Edited by
W. Desch
F. Kappel
K. Kunisch
Springer Basel AG
Editors:
W. Desch. F. Kappel and K. Kunisch
Universittil Oraz
InstituI rur Mathematik
HcinrichstraBe 36
8010 Graz
Austria
e-mails:[email protected]
f [email protected]
[email protected]
2000 Mathematies Subjeci Classification 35L05. 35Q72. 47006.49J40. 49K40. 49NOS. 62H30. 6SC20. 65M99. 65P99.
68U99. 76D05. 93A15. 93B07. 93C". 93DI5
A CIP eatalogue record for this book is available from the Library of Congrcss. Washington D.C .• USA
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C 2003 Springer Base! AG
Originally publishcd by BirkhAuscr Vcrlag Basel,Swilzerland in 2003
Sof"tcover reprint ofthe hardcover ISI edition 2003
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DOI 10.1007/9'78-3-0348-8001-5
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Contents
Preface VII
Participants ix
H.T. Banks, S.C. Beeler, and H.T. Tran
State Estimation and Tracking Control of Nonlinear Dynamical Systems 1
H.T. Banks, H. Tran, and S. Wynne
A Well-posedness Result for a Shear Wave Propagation Model 25
R. Becker and B. Vexler
Mesh Adaptation for Parameter Identification Problems 41
M. Bergounioux and M. Haddou
A SQP-Augmented Lagrangian Method for Optimal Control of
Semilinear Elliptic Variational Inequalities 57
J.A. Burns and J.R. Singler
On the Long Time Behavior of Approximating Dynamical Systems 73
K. Deckelnick and M. Hinze
Error Estimates in Space and Time for Tracking-type Control of the
Instationary Stokes System 87
M.C. Delfour
Modeling and Control of Asymptotic Shells 105
W. Desch, E. FaSanga, and J. Milota
Unbounded Observers and Riccati Operators in Nonrefiexive Spaces 121
Q. Du and M. Gunzburger
Centroidal Voronoi Tessellation Based Proper Orthogonal
Decomposition Analysis 137
H.O. Fattorini
Time and Norm Optimal Controls for Linear Parabolic Equations:
Necessary and Sufficient Conditions 151
A. Fursikov
Feedback Stabilization for the 2D Oseen Equations: Additional Remarks 169
VI Contents
G. Grammel
Pontryagin's Maximum Principle via Singular Perturbations 189
K. Ito
Level Set Methods for Variational Problems and Applications 203
V. Komornik and P. Loreti
Boundary Observability of Compactly Perturbed Systems 219
S. Manservisi
Some Shape Optimal Control Computations for Navier-Stokes Flows 231
R.C. Smith and M.V. Salapaka
Model Development for the Positioning Mechanisms in an
Atomic Force Microscope 249
Preface
This volume contains the Proceedings of the International Conference on Control
of Distributed Parameter Systems, held in Graz (Austria) from July 15-21, 2001. It
was the eighth in a series of conferences that began in 1982. Included are a broad
variety of topics related to partial differential equations, ranging from abstract
functional analytic framework to aspects of modelling, with the main emphasis,
however, on theory and numerics of optimal control for nonlinear distributed pa
rameter systems.
48 researchers from 11 countries attended the conference. We thank all of
them for their lectures, their contributions to this volume, and many stimulating
discussions.
For the first time the conference took place in the Bildungshaus Mariatrost
in Graz. We enjoyed a very pleasant and supportive environment. Our thanks go
to the whole staff of the Bildungshaus Mariatrost for helping us with solving many
everyday issues.
This meeting was facilitated by funding from the following organizations:
European Office of Aerospace Research and Development
Air Force Office of Scientific Research
United States Air Force Research Laboratory
Karl-Franzens-Universitiit Graz
Special Research Center on Optimization and Control
Stadt Graz
Steiermiirkische Landesregierung
It is our pleasure to acknowledge the generous support by these institutions.
We wish to thank the friendly team of Birkhiiuser for the enjoyable cooper
ation, in particular Dr. T. Hintermann, Mrs. S. Lotrovsky, and Dr. T. Hempfling.
It is Mrs. G. Krois who carried the main burden of coordinating the con
ference and preparing these proceedings. We express our special thanks for her
immense workpower and experience, and her everlasting encouragement and opti
mism.
Graz, July 2002
W. Desch, F. Kappel, K. Kunisch
Participants
H. T. Banks North Carolina State University, Raleigh, USA
J. Batzel Karl-Franzens-Universitat Graz, Graz, Austria
M. Bergounioux Universite d'Orleans, Orleans, France
A. Borzi Karl-Franzens-Universitat Graz, Graz, Austria
M. Brokate Technische Universitat Miinchen, Miinchen, Germany
J.A. Burns Virginia Polytechnic Institute and State University,
Blacksburg, USA
P. Cannarsa Universita di Roma "Tor Vergata", Roma, Italy
M.C. Delfour Universite de Montreal, Montreal, Canada
W. Desch Karl-Franzens-Universitat Graz, Graz, Austria
J.C. DelosReyes Karl-Franzens-Universitat Graz, Graz, Austria
E. FaSanga Charles University, Praha, Czech Republic
H.O. Fattorini University of California, Los Angeles, USA
M. Fink Karl-Franzens-Universitat Graz, Graz, Austria
A.V. Fursikov Moscow State University, Moscow, Russia
G. Grammel Technische Universitat Miinchen, Miinchen, Germany
M.D. Gunzburger Iowa State University, Ames, USA
J. Haslinger Charles University, Praha, Czech Republic
M. Heinkenschloss Rice University, Houston, USA
M. Hintermiiller Karl-Franzens-Universitat Graz, Graz, Austria
M. Hinze Technische Universitat Dresden, Dresden, Germany
A. Ignat Karl-Franzens-Universitat Graz, Graz, Austria
K. Ito North Carolina State University, Raleigh, USA
F. Kappel Karl-Franzens-Universitat Graz, Graz, Austria
S. Keeling Karl-Franzens-Universitat Graz, Graz, Austria
V. Komornik Universite Louis Pasteur, Strasbourg, France
P. KrejCi Czech Academy of Sciences, Praha, Czech Republic
K. Kunisch Karl-Franzens-Universitat Graz, Graz, Austria
A. Kunoth Universitat Bonn, Bonn, Germany
P. Loreti Universita di Roma "La Sapienza", Roma, Italy
S. Manservisi Universita di Bologna, Bologna, Italy
S. Micu Universidad Complutense, Madrid, Spain
J. Milota Charles University, Praha, Czech Republic
G. Peichl Karl-Franzens-Universitat Graz, Graz, Austria
G. Propst Karl-Franzens-Universitat Graz, Graz, Austria
J. Priiss Martin-Luther Universitat Halle-Wittenberg, Halle,
Germany
x Participants
J.-P. Raymond Universite Paul Sabatier, Toulouse, France
W. Ring Karl-Franzens-Universitiit Graz, Graz, Austria
R.C. Smith North Carolina State University, Raleigh, USA
U. Spassov University Rovira i Virgili, Tarragona, Spain
H.T. Tran North Carolina State University, Raleigh, USA
F. Troltzsch Technische Universitiit Berlin, Berlin, Germany
M. Tucsnak Universite de Nancy I, Vandoeuvre les Nancy, France
M. Ulbrich Technische Universitiit Munchen, Munchen, Germany
S. Ulbrich Technische Universitiit Munchen, Munchen, Germany
B. Vexler Universitiit Heidelberg, Heidelberg, Germany
S. Volkwein Karl-Franzens-Universitiit Graz, Graz, Austria
G. Weiss Imperial College of Science and Technology, London,
United Kingdom
H. J. Zwart Universiteit Twente, Enschede, The Netherlands
