Wissenschaftliche Mitglieder:
Professoren:
- Prof. Dr. Uwe Helmke
,Tel: 0931 888 5003,Fax: 0931 888 4611,Mail: helmke@mathematik.uni-wuerzburg.de
Wissenschaftliche Mitarbeiter:
- Dr. Knut Hüper
,Tel: 0931 888 5088,Fax: 0931 888 4611,Mail: hueper@mathematik.uni-wuerzburg.de
- Dr. Gunther Dirr
,Tel: 0931 888 5010,Fax: 0931 888 4611,Mail: dirr@mathematik.uni-wuerzburg.de
Sonstige beteiligte Personen und Organisationen:
- Prof. Dr. J.B. Moore
, (Australien)
- Prof. Dr. I. Mareels
, (Australien)
- Prof. Dr. J. Rosenthal
, (USA)
- Prof. Dr. P. Fuhrmann
, (Israel)
- Prof. Dr. L. Lopez
, (Italien)
- Prof. Dr. R. Sepulchre
, (Belgien)
- Prof. Dr. P. Van Dooren
, (Belgien)
- Dr. S. Yoshizawa
, (Japan)
- Dr. M. Ait Rami
, (Marokko)
- Prof. F. Silva Leite
, (Portugal)
- Dr. X. Puerta
, (Spanien)
- Prof. Dr. K. Starkov
, (Mexiko)
Forschungsschwerpunkte (und Projekte auf Basis der Grundausstattung):
Ziel ist die Untersuchung linearer und nichtlinearer Regelungssysteme, sowie unendlichdimensionaler dynamischer Systeme.
Dabei werden die folgenden Themen untersucht:
- Nichtlineare Systeme auf homogenen Räumen
- Regelungstheorie numerischer Algorithmen
- Lineare Systeme
- Parametrisierungsfragen; Modulräume
- Unendlichdimensionale Systeme
- Systemapproximation
- Beobachtertheorie
Die Forschung wird durch Drittmittelprojekte (GIF, DAAD) sowie die Teilnahme
an grossen europäischen Netzen (NCN, CTS) unterstützt. Darüberhinaus bestehen vielfältige
internationale Kontakte (Konferenzbesuche,
gegenseitige Forschungsaufenthalte, Kooperationen) mit Kollegen aus Australien,
Belgien, Israel, Italien, Japan, Marokko, Mexiko, Portugal, Spanien und USA.
Ergebnisse:
- Arbeiten von U. Helmke
- Advances in Mathematical Systems Theory,
(Herausgeber: F. Colonius, U. Helmke, D. Prätzel--Wolters und
F. Wirth), Festschrift on the occasion of the 60th birthday of
D. Hinrichsen, Birkhäuser Publ., Boston (2001).
- System assignment and pole placement for symmetric
realisations, Journal of Mathematical Systems, Estimation and
Control 8 (1998), 321--352; short version: 5 (1994), 267--270;
retrieval code 00286 (electronic version) (1995); with R.E. Mahony.
- Tangent spaces of rational matrix functions,
Linear Algebra and its Appl. 27 (1998), 1--40, with P.A. Fuhrmann.
- Discontinuity of balanced realizations, Systems &
Control Letters, 34 (1998), 217--244, with G. Dirr.
- The topology of the set of conditioned invariant
subspaces, Systems & Control Letters 40 (2000), 97--105, with X. Puerta.
- Controllability of matrix eigenvalue algorithms: the
inverse power method, Systems & Control Letters 41 (2000), 57--66, with
P. A. Fuhrmann.
- Minimal partial realization by descriptor systems,
to appear in Linear Algebra and its Applications, with D. Hinrichsen
and W. Manthey.
- On the parametrization of conditioned invariant subspaces
and observer theory, Linear Algebra and its
Applications 332--334 (2001), 265--353, with P.A. Fuhrmann.
- Controllability properties of numerical eigenvalue algorithms,
Systems & Control Letters 43 (2001), 9--23, with F. Wirth.
- Connectivity properties of spaces of partial realizations,
Systems & Control Letters 43 (2001), 225--238, with W. Manthey.
- Structure and parameterization of periodic linear systems,
submitted to SIAM J. Matrix Analysis Appl., with E. Verriest.
- Output feedback invariants, to appear in Linear Algebra
and its Applications, with M. S. Ravi and J. Rosenthal.
- Computation od signature symmetric balanced realizations,
to appear in Journal of Global Optimization, with K. Hüper and J. Moore.
- Bruhat decomposition of block Hankel matrices, submitted to
Linear Algebra and its Applications, with W. Manthey.
- A numerical method for computing signature symmetric
balanced realizations, Proceedings CD of the 14th International
Symposium of Mathematical Theory of Networks and Systems, MTNS 2000,
Perpignan, with K. Hüper and J.B. Moore.
- Controllability of the shifted inverse power iteration: the
case of real shifts, to appear in Proc. EQUADIFF 1999, with F. Wirth.
- Discrete observability problems for linear time--invariant
systems in singular cases, Proc. of
the IASTED international conference MIC 2001, with K. Starkov.
- Diagonalization of time varying symmetric matrices, to
appear in Proceedings of the International Conference on
Computational Science ICCS 2002, Amsterdam 2002, with M. Baumann.
- Arbeiten von K. Hüper:
- Special Issue: Lie theory and its applications in control,
(Guest editors: U. Helmke, K. Hüper, and J. Lawson), Systems
& Control Letters, 1, vol 43, 2001.
- Computation of signature symmetric balanced realizations,
erscheint bei Journal of Global Optimization, 2002, mit
U. Helmke und J.B. Moore.
- Smooth Interpolating Curves on Manifolds With Applications to
Path Planning, 10th Mediterranean conference on
control and automation, MED2002, Lisbon, Portugal, July 9--12, 2002,
mit F. Silva Leite.
- Arbeiten von G. Dirr
- Continuity properties of balanced realizations, System and
Control Letters 34 (1998) 217-224, with U. Helmke.
- Continuity of Near-Duality Maps and Characterization of Ideal
Spaces of Measurable Functions, Progress in Nonlinear Differential
Equations, Vol. 40, 139-148, Birkhäuser Verlag, Basel, 2000, with
M. Väth.
- Estimates for projections in Banach spaces and existence of
direct complements, 2002 (submitted), with V. Rakocevic and
H. Wimmer.
- Differentialgleichungen in Frecheträumen, Dissertation,
Universität Würzburg, 2001.
