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Dynamics and Control

Dirr Gunther, Dr.

Dr. Gunther Dirr

Senior Lecturer
Chair of Mathematics II
Emil-Fischer-Straße 40
97074 Würzburg
Building: 40 (Mathematik Ost)
Room: 01.009
Phone: +49 931 31-85010
Fax: +49 931 31-84611
Portrait Gunther Dirr

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Courses and Exercises (Summer Semester 2024)

  Lecturer: Dr. Gunther Dirr

Introduction to discrete mathematics

      

Groups and their representation

Lecture (start: Monday, April 15, 2024):

Monday,    12:00 - 14:00 (S0.108), Hubland Nord
Thursday,       16:00 - 18:00 (HS 2), Hubland Nord

Dates for Excersises in Groups (start: to be announced during the lectures): 

Wednesday,    8:00 - 10:00 (S0.101), Hubland Nord
Wednesday,   14:00 - 16:00 (S0.101), Hubland Nord
Wednesday,   16:00 - 18:00 (S0.106), Hubland Nord

  

Lecture (start: Tuesday, April 16, 2024):

Tuesday,   12:00 - 14:00 (SE 40), Hubland Nord
Thursday,   8:00 - 10:00 (SE 40), Hubland Nord

Dates for Excersises (start: to be announced during the lectures):

Wednesday,    10:00 - 12:00 (SE 40), Hubland Nord

Usefull Links:

WueCampus course
Class Schedule of the Faculty of Mathematics and Computer Science

Publications of Gunther Dirr (list is not complete)

  • G. Dirr, U. Helmke and F. Rüppel. Accessibility of Bilinear Networks of Systems - Control by Interconnections, accepted for publication in MCSS, 2016.
  • G. Ciaramella, A. Borzi, G. Dirr and D. Wachsmuth. Newton Methods for the Optimal Control of Closed Quantum Spin Systems, SIAM J. Sci. Comput., Vol. 37:1 (2015), 319–346.
  • G. Dirr, H. Ito, A. Rantzer and B. Rüffer. Separable Lyapunov functions for monotone systems: constructions and limitations, Discrete and Continuous Dynamical Systems - Series B, 2015.
  • G. Dirr, J. Jordan and I. Kurniawan. A note on generic accessibility and controllability of bilinear systems, in: Mathematical System Theory: Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday, 2013.
  • G. Dirr. Ensemble Controllability of Bilinear Systems, in: Oberwolfach Reports, Vol. 9:1, 674-676, 2012.
  • C. O'Meara, G. Dirr and Th. Schulte-Herbrüggen. Illustrating the geometry of coherently controlled unital open quantum systems, IEEE Trans. Automat. Control, Vol. 57, 2050-2056, 2012.
  • I. Kurniawan, G. Dirr and U. Helmke. Controllability aspects of quantum dynamics: a unified approach for closed and open systems, IEEE Trans. Automat. Control, Vol. 57, 1984-1996, 2012.
  • O. Curtef, G. Dirr and U. Helmke. Riemannian optimization on tensor products of Grassmann manifolds: Applications to generalized Rayleigh-quotients, SIAM J. Matrix Anal. Appl., Vol. 33:1 (2012), 210–234.
  • T. Schulte-Herbrüggen, S. Glaser, G. Dirr, and U. Helmke, Gradient flows for optimization in quantum information and quantum dynamics: foundations and applications, Reviews in Math. Physics, 22:6 (2009), 597-667.
  • G. Dirr, U. Helmke and J. Jordan, Control and Observation of the Matrix Riccati Differential Equation, in Emergent Problems in Nonlinear Systems and Control, LN in Control and Information Sciences, B. Gosh et al. (Eds.), Springer, 2009, 169-184.
  • G. Dirr, U. Helmke, I. Kurniawan and T. Schulte-Herbrüggen, Lie-semigroup Structures for Reachability and Control of Open Quantum Systems: Kossakowski-Lindbald Generators from Lie Wedge to Markovian Channels, Reports on Math. Physics, 64 (2009), 93-121.
  • G. Dirr, U. Helmke, Accessibility of a Class of Generalized Double-Bracket Flows, CIS, 8:2 (2008), 127-146.
  • G. Dirr, U. Helmke, M. Kleinsteuber and Th. Schulte-Herbrüggen. Relative C-numerical range for applications in quantum control and quantum information, Linear and Multilinear Algebra, 56:1 (2008), 27-51.
  • Th. Schulte-Herbrüggen, G. Dirr, U. Helmke and S. Glaser. The significance of the C-numerical range and the local C-numerical range in quantum control and quantum information, Linear and Multilinear Algebra 56:1 (2008), 3-26.
  • G. Dirr and U. Helmke. Lie Theory for Quantum Control, GAMM-Mitteilungen, 31:1 (2008), 59-93.
  • G. Dirr, U. Helmke and Ch. Lageman. Nonsmooth Riemannian optimization with applications to sphere packing and grasping. In Lagrangian and Hamiltonian Methods for Nonlinear Control 2006, Lecture Notes in Control and Information Sciences, Vol. 366, 29-45, Springer Verlag, Berlin, 2007.
  • G. Dirr and H. Wimmer. An Eneström-Kakeya theorem for Hermitian polynomial matrices, IEEE Transactions on Automatic Control, 52:11 (2007), 2151-2153.
  • G. Dirr, U. Helmke, K. Hüper, M. Kleinsteuber and Y. Liu. Spin dynamics: a paradigm for time optimal control on compact Lie groups, Journal of Global Optimization, 35 (2006), 443-474.
  • G. Dirr, U. Helmke and M. Kleinsteuber. Lie algebra representations, nilpotent matrices, and the C-numerical range, Linear Algebra and its Applications, 413 (2006), 534-566.
  • G. Dirr, V. Rakocevic and H. Wimmer. Estimates for projections in Banach spaces and existence of direct complements, Studia Math., 170:2 (2005), 211-216.
  • G. Dirr and Martin Väth. Continuity of Near-Duality Maps and Characterization of Ideal Spaces of Measurable Functions. In Progress in Nonlinear Differential Equations, Vol. 40, Birkhäuser Verlag, Basel, 2000.
  • G. Dirr and U. Helmke. Continuity properties of balanced realizations, System and Control Letters, 34 (1998), 217-224.
  • G. Dirr, U. Helmke, M. Kleinsteuber and Th. Schulte-Herbrüggen. Relative C- numerical range for applications in quantum control and quantum information, e-print:  arXiv:quant-math/0702005 (2007).