MPS Sim - Previous Publications
[ArnMS01ppt] M. Arnold, V. Mehrmann, and A. Steinbrecher. Index reduction in industrial multibody system simulation. Preprint DLR IB 532-01-01, DLR German Aerospace Center, Institute of Aeroelastic-ity, Vehicle Systems Group, P.O. Box 1116, D-82230 Wessling, FRG, 2001.
[ArnMS04ppt] M. Arnold, V. Mehrmann, and A. Steinbrecher. Index reduction in industrial multibody system simulation. Preprint 2004-146, Matheon, DFG Research Center Mathematics for key technologies in Berlin, Berlin, Germany, 2004.
[BavBMSU06ppt] Y. Bavafa-Toosi, C. Blendinger, V. Mehrmann, A. Steinbrecher, and R. Unger. Modeling, analysis, synthesis, and simulation of time-optimal train traffic in large networks. Preprint 2006-27, Institut f ¨ur Mathematik, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin, FRG, 2006.
[BavBMSU08] Y. Bavafa-Toosi, C. Blendinger, V. Mehrmann, A. Steinbrecher, and R. Unger. A new methodol-ogy for modeling, analysis, synthesis, and simulation of time-optimal train traffic in large networks.
IEEE Transactions on Automation Science and Engineering, 5:43–52, 2008.
[BenBMX99a] P. Benner, R. Byers, V. Mehrmann, and H. Xu. Numerical solution of linear-quadratic control problems for descriptor systems. In Proceedings of the IEEE conference on Computer Aided Control Systems Design. Hawaii,. CD Rom, 1999.
[BenLMPR08] P. Benner, P. Losse, V. Mehrmann, L. Poppe, and T. Reis. γ-iteration for descriptor systems using structured matrix pencils. In C. Beattie, S. Gugercin, and E.W. Sachs, editors,Proceedings of the 18-th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2008), Blacksburg, Virginia, July 28-August 1 2008.
[BorM06] S. Bora and V. Mehrmann. Linear perturbation theory for structured matrix pencils arising in control theory.SIAM Journal on Matrix Analysis and Applications, 28:148–169, 2006.
[BunBMN99] A. Bunse-Gerstner, R. Byers, V. Mehrmann, and N.K. Nichols. Feedback design for regularizing descriptor systems.Linear Algebra and its Applications, 299:119–151, 1999.
[BunMN90] A. Bunse-Gerstner, V. Mehrmann, and N.K. Nichols. On derivative and proportional feedback design for descriptor systems. In M.A. Kaashoek et al, editor,Proceedings of the International Symposium on the Mathematical Theory of Networks and Systems, Amsterdam, Netherlands, Juni 1989, pages 437–447, Basel, 1990. Birkh ¨auser.
[BunMN91] A. Bunse-Gerstner, V. Mehrmann, and N.K. Nichols. Regularization of descriptor systems. In
Proceedings of the Conference on Decision and Control CDC-1991, Bristol, 1991.
[BunMN92] A. Bunse-Gerstner, V. Mehrmann, and N.K. Nichols. Regularization of descriptor systems by derivative and proportional state feedback. SIAM Journal on Matrix Analysis and Applications, 13:46–67, 1992.
[BunMN93] A. Bunse-Gerstner, V. Mehrmann, and N.K. Nichols. Output feedback in descriptor systems. In P. Van Dooren and B. Wyman, editors,Linear Algebra for Control Theory, pages 43–54. Springer-Verlag, New York, 1993.
[BunMN94] A. Bunse-Gerstner, V. Mehrmann, and N.K. Nichols. Regularization of descriptor systems by output feedback.IEEE Transactions on Automatic Control, 39:1742–1748, 1994.
[ByeGM97] R. Byers, T. Geerts, and V. Mehrmann. Descriptor systems without controllability at infinity. SIAM Journal on Control and Optimization, 35:462–479, 1997.
[ByeKM97] R. Byers, P. Kunkel, and V. Mehrmann. Regularization of linear descriptor systems with variable coefficients.SIAM Journal on Control and Optimization, 35(1):117–133, 1997.
[ByeMMX09] R. Byers, D.S. Mackey, V. Mehrmann, and H. Xu. Symplectic, bvd, and palindromic approaches to discrete-time control problems. In P. Petkov and N. Christov, editors, Collection of Papers Dedicated to the 60-th Anniversary of Mihail Konstantinov, pages 81–102, Sofia, Bulgaria, 2009. Rodina.
[ChuM00] D. Chu and V. Mehrmann. Disturbance decoupling for descriptor systems. SIAM Journal on Control and Optimization, 38:1830–1858, 2000.
[ChuM00a] D. Chu and V. Mehrmann. Disturbance decoupling for descriptor systems by measurement feed-back. The Electronic Journal of Linear Algebra, 7:152–173, 2000.
[ChuM99] D. Chu and V. Mehrmann. Disturbance decoupled observer design for descriptor systems. Sys-tems and Control Letters, 38:37–48, 1999.
[ChuMN99] D. Chu, V. Mehrmann, and N.K. Nichols. Minimum norm regularization of descriptor systems by output feedback.Linear Algebra and its Application, 296:39–77, 1999.
[GSPKM05] A. G ¨abler, S. Schlauch, A.R. Paschedag, M. Kraume, and V. Mehrmann. Transient drop size distributions in stirred liquid liquid dispersions. In M. Sommerfeld, editor,Proceedings of the 11th Workshop on Two-Phase Flow Predictions, Merseburg, April 5 - 8, 2005, 2005. ISBN 3-86010-767-4.
[HamM08] P. Hamann and V. Mehrmann. Numerical solution of hybrid differential-algebraic equations. Com-puter Methods in Applied Mechanics and Engineering. Elsevier Science., 197:693–705, 2008. [HeiM12] J. Heiland and V. Mehrmann. Distributed control of linearized Navier-Stokes equations via
in-put/output maps. ZAMM, Zeitschrift f ¨ur Angewandte Mathematik und Mechanik, 92:257–274, 2012.
[HeiMS10] J. Heiland, V. Mehrmann, and M. Schmidt. A new discretization framework for input/output maps and its application to flow control. In R. King, editor,Active Flow Control. Papers contributed to the Conference ”Active Flow Control II 2010”, Berlin, Germany, May 26 to 28, 2010. Springer, Berlin, 2010.
[HenKMSST07] L. Henning, D. Kuzmin, V. Mehrmann, M. Schmidt, A. Sokolov, and S. Turek. Flow control via Featflow-MATLAB coupling. In R. King, editor,Active Flow Control, pages 325–338, Heidelberg, 2007. Springer-Verlag.
[HigKMP04] N.J. Higham, M.M. Konstantinov, V. Mehrmann, and P.Hr. Petkov. The sensitivity of computational control problems. Control Systems Magazine, 24:28–43, 2004.
[HoeSS09ppt] D. H ¨omberg, A. Steinbrecher, and T. Stykel. Optimal control of robot guided laser material treatment. Preprint 1405, WIAS Berlin, Berlin, 2009.
[IlcM06] A. Ilchmann and V. Mehrmann. A behavioural approach to time-varying linear systems. i. general theory.SIAM Journal on Control and Optimization, 44(5):1725–1747, 2006.
[IlcM06a] A. Ilchmann and V. Mehrmann. A behavioural approach to time-varying linear systems.ii. descrip-tor systems. SIAM Journal on Control and Optimization, 44:1748–1765, 2006.
[KreMP98] D. Kressner, V. Mehrmann, and T. Penzl. DTDSX– a collection of benchmark examples for state-space realizations of discrete-time dynamical systems. Technical Report SLWN1998-10, Katholieke universiteit leuven, ESAT, KU Leuven, K. Mercierlaan 94, Leuven-Heverlee 3100, Bel-gium, 1998.
[KreMP98appt] D. Kressner, V. Mehrmann, and T. Penzl. CTDSX– a collection of benchmark examples for state-space realizations of continuous-time dynamical systems. Preprint SLWN1998-9, Katholieke universiteit leuven, ESAT, KU Leuven, K. Mercierlaan 94, Leuven-Heverlee 3100, Bel-gium, 1998.
[KunM01] P. Kunkel and V. Mehrmann. Analysis of over- and underdetermined nonlinear differential-algebraic systems with application to nonlinear control problems.Mathematics of Control, Signals, and Systems, 14:233–256, 2001.
[KunM04] P. Kunkel and V. Mehrmann. Index reduction for differential-algebraic equations by minimal ex-tension. Zeitschrift f ¨ur Angewandte Mathematik und Mechanik, 84(9):579–597, 2004.
[KunM05] P. Kunkel and V. Mehrmann. Characterization of classes of singular linear differential-algebraic equations.Electronic Journal on Linear Algebra, 13:359–386, 2005.
[KunM06] P. Kunkel and V. Mehrmann.Differential-Algebraic Equations — Analysis and Numerical Solution. EMS Publishing House, Z ¨urich, Switzerland, 2006.
[KunM07] P. Kunkel and V. Mehrmann. Stability properties of differential-algebraic equations and spin-stabilized discretizations.Electronic Transactions on Numerical Analysis, 26:385–420, 2007. [KunM08] P. Kunkel and V. Mehrmann. Optimal control for unstructured nonlinear differential-algebraic
equa-tions of arbitrary index.Mathematics of Control, Signals, and Systems, 20:227–269, 2008. [KunM11a] P. Kunkel and V. Mehrmann. Formal adjoints of linear DAE operators and their role in optimal
control.Electron. J. Linear Algebra, 22:672–693, 2011.
[KunM91] P. Kunkel and V. Mehrmann. Smooth factorizations of matrix valued functions and their deriva-tives. Numerische Mathematik, 60:115–132, 1991.
[KunM94] P. Kunkel and V. Mehrmann. A new look at pencils of matrix valued functions.Linear Algebra and its Applications, 212/213:215–248, 1994.
[KunM94a] P. Kunkel and V. Mehrmann. Canonical forms for linear differential-algebraic equations with vari-able coefficients.Journal of Computational and Applied Mathematics, 56:225–251, 1994. [KunM95] P. Kunkel and V. Mehrmann. Analysis und numerik linearer differentiell-algebraischer
gleichun-gen. In J. Herzberger, editor, Wissenschaftliches Rechnen. Eine Einf ¨uhrung in das Scientific Computing, pages 233–278. Akademie Verlag Berlin, 1995.
[KunM96] P. Kunkel and V. Mehrmann. A new class of discretization methods for the solution of linear differential algebraic equations with variable coefficients. SIAM Journal on Numerical Analysis, 33:1941–1961, 1996.
[KunM96a] P. Kunkel and V. Mehrmann. Generalized inverses of differential-algebraic operators.SIAM Jour-nal on Matrix AJour-nalysis and Applications, 17:426–442, 1996.
[KunM96b] P. Kunkel and V. Mehrmann. Local and global invariants of linear differential-algebraic equations and their relation. Electronic Transactions on Numerical Analysis, 4:138–157, 1996.
[KunM96e] P. Kunkel and V. Mehrmann. Local and global invariants of linear differential algebraic equations and their relation. Electr. Trans. Numer. Anal., 4:138–157, 1996.
[KunM97] P. Kunkel and V. Mehrmann. The linear quadratic control problem for linear descriptor systems with variable coefficients. Mathematics of Control, Signals, and Systems, 10:247–264, 1997. DOI: 10.1007/BF01211506.
[KunM98] P. Kunkel and V. Mehrmann. Regular solutions of nonlinear differential-algebraic equations and their numerical determination. Numerische Mathematik, 79:581–600, 1998.
[KunMR01] P. Kunkel and V. Mehrmann und W. Rath. Analysis and numerical solution of control problems in descriptor form.Mathematics of Control, Signals, and Systems, 14:29–61, 2001.
[KunMR99] P. Kunkel, V. Mehrmann, and W. Rath. Numerical solution of variable coefficient daes and de-scriptor systems. In F. Keil, W. Mackens, H. Voss, and J. Werther, editors,Scientific Computing in Chemical Engineering II’, Proceedings of a Workshop, Hamburg, May 26 -28, 1999, Simulation, Image Processing Optimization and Control, pages 244–251, Berlin, 1999. Springer Verlag. [KunMRW96] P. Kunkel, V. Mehrmann, W. Rath, and J. Weickert. GELDA-Ein Softwarepaket zur L ¨osung
lin-earer differentiell-algebraischer Gleichungen mit beliebigem Index. In W. Mackens und S. Rump, editor, Software-Engineering im Scientific Computing’, Proceedings of a Workshop, Hamburg 6.6.-8.6.95, pages 242–248, Braunschweig, 1996. Vieweg Verlag.
[KunMRW97] P. Kunkel, V. Mehrmann, W. Rath, and J. Weickert. A new software package for linear differential–algebraic equations. SIAM Journal on Scientific Computing, 18:115 – 138, 1997. [KunMS02ppt] P. Kunkel, V. Mehrmann, and I. Seufer. Genda: A software package for the numerical solution
of general nonlinear differential-algebraic equations. Preprint 2002-730, Institut f ¨ur Mathematik, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin, FRG, 2002.
[KunMS04] P. Kunkel, V. Mehrmann, and R. St ¨over. Symmetric collocation for unstructured nonlinear differential-algebraic equations of arbitrary index. Numerische Mathematik, 98:277–304, 2004. [KunMS04a] P. Kunkel, V. Mehrmann, and R. St ¨over. Multiple shooting for unstructured nonlinear
differen-tial-algebraic equations of arbitrary index. SIAM Journal on Numerical Analysis, 42:2277–2297, 2004.
[KunMS05ppt] P. Kunkel, V. Mehrmann, and S. Seidel. A MATLAB toolbox for the numerical solution of differential-algebraic equations. Preprint 2005-16, Institut f ¨ur Mathematik, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin, FRG, 2005.
[KunMSSS06ppt] P. Kunkel, V. Mehrmann, M. Schmidt, I. Seufer, and A. Steinbrecher. Weak formulations of linear differential-algebraic systems. Preprint 2006-16, Institut f ¨ur Mathematik, TU Berlin, Str. des 17. Juni 136, D-10623 Berlin, FRG, 2006.
[KunW01] P. Kunkel and V. Mehrmann und W. Rath. Analysis and numerical solution of control problems in descriptor form.Mathematics of Control, Signals, and Systems, 14:29–61, 2001.
[LinM07ppt] V.H. Linh and V. Mehrmann. Spectral intervals for differential-algebraic equations and their nu-merical approximation. Preprint 402, Matheon, DFG Research Center Mathematics for key tech-nologies in Berlin, TU Berlin, Berlin, Germany, 2007.
[LinM09] V.H. Linh and V. Mehrmann. Lyapunov, Bohl and Sacker-Sell spectral intervals for differential-algebraic equations. Journal of Dynamics and Differential Equations, 21:153–194, 2009.
[LosM06ppt] P. Losse and V. Mehrmann. Algebraic characterization of controllability and observability for second order descriptor systems. Preprint 2006-21, Institut f ¨ur Mathematik, TU Berlin, D-10623 Berlin, FRG, 2006.
[LosM08] P. Losse and V. Mehrmann. Controllability and observability of second order descriptor systems.
SIAM Journal on Control and Optimization, 47:1351–1379, 2008.
[LosMPR08] P. Losse, V. Mehrmann, L. Poppe, and T. Reis. The modified optimal H∞ control problem for descriptor systems.SIAM Journal on Control and Optimization, 47(6):2795–2811, 2008.
[Meh87] V. Mehrmann. The Linear Quadratic Control Problem: Theory and Numerical Algorithms. PhD thesis, Universit ¨at Bielefeld, Bielefeld, FRG, 1987. Habilitationsschrift.
[Meh88] V. Mehrmann. A symplectic orthogonal method for single input or single output discrete time optimal linear quadratic control problems. SIAM Journal on Matrix Analysis and Applications, 9:221–248, 1988.
[Meh89] V. Mehrmann. Existence, uniqueness and stability of solutions to singular, linear-quadratic control problems. Linear Algebra and Its Applications, 121:291–331, 1989.
[Meh91] V. Mehrmann. The Autonomous Linear Quadratic Control Problem, Theory and Numerical Solu-tion. Number 163 in Lecture Notes in Control and Information Sciences. Springer-Verlag, Heidel-berg, 1991.
[Meh96] V. Mehrmann. A step toward a unified treatment of continuous and discrete time control problems.
Linear Algebra and its Applications, 241–243:749–779, 1996.
[MehPV96ppt] V. Mehrmann, T. Penzl, and A. Varga. A new slicot implementation and documentation stan-dard. Preprint, Katholieke Universiteit Leuven, ESAT, KU Leuven, K. Mercierlaan 94, Leuven-Heverlee 3100, Belgium, 1996.
[MehS05] V. Mehrmann and T. Stykel. Balanced truncation model reduction for large-scale systems in descriptor form. In P. Benner, V. Mehrmann, and D. Sorensen, editors,Dimension Reduction of Large-Scale Systems, volume 45 ofLecture Notes in Computational Science and Engineering, pages 83–115. Springer-Verlag, Berlin, Heidelberg, 2005.
[MehS06a] V. Mehrmann and T. Stykel. Descriptor systems: A general mathematical framework for modelling, simulation and control. Automatisierungstechnik, 8:405–415, 2006.
[MehS06c] V. Mehrmann and C. Shi. Transformation of high order linear differential-algebraic systems to first order. Numerical Algorithms, 42:281, 2006.
[MehSVX99ppt] V. Mehrmann, V. Sima, A. Varga, and H. Xu. A MATLAB mex-file environment of slicot. Preprint SLWN 1999–11, Katholieke universiteit leuven, ESAT, KU Leuven, K. Mercierlaan 94, Leuven-Heverlee 3100, Belgium, 1999. SLICOT Working Note.
[MehW09] V. Mehrmann and L. Wunderlich. Hybrid systems of differential-algebraic equations – analysis and numerical solution.J. of process Control, 19:1218–1228, 2009.
[MehX00] V. Mehrmann and H. Xu. Numerical methods in control. Journal of Computational and Applied Mathematics, 123:371–394, 2000.
[Sch11] L. Scholz. A derivative array approach for linear second order differential-algebraic systems.
Electronic Journal of Linear Algebra, 22:310–347, 2011.
[Ste06] A. Steinbrecher. Numerical Solution of Quasi-Linear Differential-Algebraic Equations and Indus-trial Simulation of Multibody Systems. PhD thesis, Institute of Mathematics, Technische Univer-sit ¨at Berlin, 2006.
Keyword: DAEs, GEOMS, multibody systems, MBS, regularization procedure, pro-jected strangeness-free formulation, constraint level, regularization, index reduction
[Ste06a] A. Steinbrecher. Analysis of quasi-linear differential-algebraic equations. Technical Report 11-2006, Institut f ¨ur Mathematik, Technische Universit ¨at Berlin, Berlin, Germany, 2006.
[Ste06b] A. Steinbrecher. Numerical simulation of multibody systems via Runge-Kutta methods. In Pro-ceedings of Applied Mathematics and Mechanics (GAMM 2006, Berlin, March 27-31, 2006), volume 6, pages 113–114, 2006.
[Ste07d] A. Steinbrecher. GEOMS: A software package for the numerical integration of general model equations of multibody systems. Technical Report 400, DFG Research Center MATHEON, WIAS
[Ste08] A. Steinbrecher. GEOMS: A new software package for the numerical simulation of multibody sys-tems. In10th International Conference on Computer Modeling and Simulation (EUROSIM/UKSIM 2008), pages 643–648. IEEE, 2008.
[Ste97] A. Steinbrecher. Berechnung optimaler Verl ¨aufe des Kupplungsmomentes bei Ein- und Auskup-pelvorg ¨angen. Master’s thesis, Faculty of Mathematics, TU Chemnitz, July 1997.
[SteS11ppt] A. Steinbrecher and T. Stykel. Model order reduction of nonlinear circuits equations. Preprint 2011-2, Technische Universit ¨at Berlin, 2011. Submitted for publication.
[Str11] L. Strenge. Der Honigmann-Prozess als thermochemischer Energiespeicher zur Erzeugung mechanischer Arbeit aus Niedertemperaturw ¨arme - Modellierung und Simulation in Modelica. Master’s thesis, Technische Universit ¨at Berlin, 2011.
