Tobias Damm: Publications

The files to be downloaded from this site are preprints and may differ from the printed articles.

Book

• Rational Matrix Equations in Stochastic Control
  (Springer Lecture Notes in Control and Information Sciences, vol 297, 2004,
  Zentralblatt Nr.02039369)

Articles in Scientific Journals

• T. Damm and H. Wimmer: A cancellation property of the Moore-Penrose inverse of triple products (.pdf), J. Austral. Math. Soc., 86(1):33-44, 2009
• T. Damm, Direct methods and ADI preconditioned Krylov subspace methods for generalized Lyapunov equations (.pdf), Numer. Linear Algebra Appl., 15(9):853-871, 2008
• E. Jarlebring, T. Damm, The Lambert W function and the spectrum of some multidimensional time-delay systems (.pdf), Automatica 43, 2124-2128, 2007
• T. Damm, On detectability of stochastic systems (.pdf), Automatica 43, 928-933, 2007
• H. Crauel, T. Damm, A.Ilchmann: Stabilization of linear systems by rotation (.pdf),
  Journal of Differential equations, 234:412-438, 2007
  
• V. Dragan, T. Damm, and G. Freiling: Lyapunov iterations for coupled Riccati differential equations arising in connection with Nash differential games (.pdf), Mathematical Reports, 9(59), 1: 35-46, 2007
• V. Dragan, T. Damm, G. Freiling, and T. Morozan: Differential equations with positive evolutions and some applications (.pdf), Results in Mathematics, 48: 206-235, 2005
• T. Damm: Groups of positive operators on the space of Hermitian matrices are completely positive (.pdf) Linear Algebra Appl.,393:127-137, 2004
• T. Damm, D. Hinrichsen: Newton's method for concave operators with resolvent positive derivatives in ordered Banach spaces, (.pdf) Linear Algebra Appl.,363:43-64, 2003
• T. Damm: On the inverse of the Lyapunov operator (.pdf), Linear Algebra Appl.,363:35-41, 2003
• T. Damm: State-feedback $H^\infty$-type control of linear systems with time-varying parameter uncertainty (.pdf) Linear Algebra Appl.,351-352:185-210, 2002
• T. Damm, D. Hinrichsen: Newton's method for a rational matrix equation occuring in stochastic control (.pdf), Linear Algebra Appl.,332-334:81-109, 2001

Submitted manuscripts

• Krylov subspace methods for model order order reduction of bilinear control systems
  (with T. Breiten)
• Lyapunov equations, energy functionals, and model order reduction
  (with P. Benner)

Book Chapters and Refereed Articles in Proceedings

• Detectability, Observability, and Asymptotic Reconstructability of Positive Systems
  (with C. Ethington, in Springer Lecture Notes in Control and Information Sciences, vol 389, 2009)
• Stabilization of linear systems by dynamic high-gain rotation, .ps.gz , .pdf
  (with H. Crauel and A.Ilchmann; Proceedings IFAC World Congress 2005, Praha)
• On double Newton steps, .ps.gz , .pdf
  (Proceedings MTNS 2004, Leuven)
• Stability of linear systems and positive semigroups of symmetric matrices, .ps.gz , .pdf
  (in "Positive Systems" Springer Lecture Notes in Control and Information Sciences, vol 294)
• A car-steering problem with random adhesion coefficient, .ps.gz , .pdf
  (PAMM, Proceedings Appl. Math. Mech., 2:83-84, 2003)
• Generalized Riccati equations and stabilization of stochastic systems, .ps.gz, .pdf
  (Proceedings CAO 2000, St. Petersburg)
• On a rational matrix equation occuring in stochastic control, .ps.gz, .pdf
  (with D. Hinrichsen; Proceedings ECC 1999, Karlsruhe)

Theses

• Rational Matrix Equations in Stochastic Control, .ps.gz, .pdf.gz, .pdf
  (Doktorarbeit (Bremen 2002), slightly revised version appeared in LNCIS)
• Frequenzmethoden und Abschätzung der Hausdorffdimension zur Stabilitätsuntersuchung
  (Diplomarbeit (Würzburg 1996), see corresponding preprints below)

Translations

• V.I. Arnold: Vorlesungen über partielle Differentialgleichungen (Übersetzung aus dem Russischen)
  (seit März 2004 bei Springer, Zentralblatt Nr.02060669)
• V.I. Arnold: Gewöhnliche Differentialgleichungen (Übersetzung aus dem Russischen)
  (seit März 2001 bei Springer, Zentralblatt Nr.01581771)

Conference Proceedings

• Reconstruction of shape using gradient measuring optical systems, (with J. Seewig, J. Frasch, D. Kauven, S. Rau, and J. Schnebele. Proceedings of FRINGE '09, 6th International Workshop on Advanced Optical Metrology, 2009)
• State-feedback $H^\infty$-control of stochastic linear systems
  (Proceedings of the 3rd NICONET Workshop 2001, Louvain-la-Neuve, Belgium)
• On the parameter dependence of a class of rational matrix equations occuring in stochastic optimal control .ps.gz, .pdf (with D. Hinrichsen; Proceedings MTNS 2000, Perpignan)
• Matrix (in)equalities for linear stochastic systems .ps.gz, .pdf
  (with D. Hinrichsen; Proceedings MTNS 1998, Padua)

Preprints, Reports

• Newton's method for a rational matrix equation occuring in stochastic control
  (with D. Hinrichsen; Report Nr. 443, Institut für Dynamische Systeme, Universität Bremen, 1999)
• Gewöhnliche Differentialgleichungen: Hausdorffdimension und Zhukowskijstabilität, .ps.gz, .pdf
  (Preprint Nr. 221, Math. Inst., Univ. Würzburg, 1997)
• Der Frequenzsatz von Kalman-Jakubovich mit einer Anwendung zur Abschätzung singulärer Werte .ps.gz, .pdf
  (Preprint Nr. 220, Math. Inst., Univ. Würzburg, 1997)