Tobias Damm: Publications

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

Book

Translations

1. V.I. Arnold: Vorlesungen über partielle Differentialgleichungen (Übersetzung aus dem Russischen)
   (seit März 2004 bei Springer, Zentralblatt Nr 1076.35001)
2. V.I. Arnold: Gewöhnliche Differentialgleichungen (Übersetzung aus dem Russischen)
   (seit März 2001 bei Springer, Zentralblatt Nr 1049.34001)

Articles in Scientific Journals

1. T. Breiten and T. Damm, Krylov subspace methods for model order reduction of bilinear control systems (.pdf), Syst. Control Lett. 59(8):443-450, 2010
2. 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
3. T. Damm, Direct methods and ADI preconditioned Krylov subspace methods for generalized Lyapunov equations (.pdf), Numer. Linear Algebra Appl., 15(9):853-871, 2008
4. E. Jarlebring, T. Damm, The Lambert W function and the spectrum of some multidimensional time-delay systems (.pdf), Automatica 43, 2124-2128, 2007
5. T. Damm, On detectability of stochastic systems (.pdf), Automatica 43, 928-933, 2007
6. H. Crauel, T. Damm, A.Ilchmann: Stabilization of linear systems by rotation (.pdf),
   Journal of Differential equations, 234:412-438, 2007
   
7. 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
8. 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
9. T. Damm: Groups of positive operators on the space of Hermitian matrices are completely positive (.pdf) Linear Algebra Appl.,393:127-137, 2004
10. 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
11. T. Damm: On the inverse of the Lyapunov operator (.pdf), Linear Algebra Appl.,363:35-41, 2003
12. 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
13. 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

• Lyapunov equations, energy functionals, and model order reduction
  (with P. Benner)
• Generalized Tangential Interpolation for Model Reduction of Discrete-Time MIMO Bilinear Systems
  (with P. Benner and T. Breiten)

Book Chapters and Refereed Articles in Proceedings

1. A State-Space Implementation of Anti-Causal Iterative Learning Control (with Urs Becker)
   (PAMM, Proceedings Appl. Math. Mech., 10:599-600, 2010)
2. Krylov Subspace Methods for Model Order Reduction of Bilinear Discrete-Time Control Systems (with Peter Benner and Tobias Breiten)
   (PAMM, Proceedings Appl. Math. Mech., 10:601-602, 2010)
3. Detectability, Observability, and Asymptotic Reconstructability of Positive Systems
   (with C. Ethington, in Springer Lecture Notes in Control and Information Sciences, vol 389, 2009)
4. 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)
5. Stabilization of linear systems by dynamic high-gain rotation, .ps.gz , .pdf
   (with H. Crauel and A.Ilchmann; Proceedings IFAC World Congress 2005, Praha)
6. On double Newton steps, .ps.gz , .pdf
   (Proceedings MTNS 2004, Leuven)
7. 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)
8. A car-steering problem with random adhesion coefficient, .ps.gz , .pdf
   (PAMM, Proceedings Appl. Math. Mech., 2:83-84, 2003)
9. State-feedback $H^\infty$-control of stochastic linear systems
   (Proceedings of the 3rd NICONET Workshop 2001, Louvain-la-Neuve, Belgium)
10. Generalized Riccati equations and stabilization of stochastic systems, .ps.gz, .pdf
    (Proceedings CAO 2000, St. Petersburg)
11. 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)
12. On a rational matrix equation occuring in stochastic control, .ps.gz, .pdf
    (with D. Hinrichsen; Proceedings ECC 1999, Karlsruhe)
13. Matrix (in)equalities for linear stochastic systems .ps.gz, .pdf
    (with D. Hinrichsen; Proceedings MTNS 1998, Padua)

Theses

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

Preprints, Reports (not published elsewhere)

1. Gewöhnliche Differentialgleichungen: Hausdorffdimension und Zhukowskijstabilität, .ps.gz, .pdf
   (Preprint Nr. 221, Math. Inst., Univ. Würzburg, 1997)
2. Der Frequenzsatz von Kalman-Jakubovich mit einer Anwendung zur Abschätzung singulärer Werte .ps.gz, .pdf
   (Preprint Nr. 220, Math. Inst., Univ. Würzburg, 1997)