List of publications

As of Jan. 12, 2007

Wieslaw Marszalek

    Journal papers and monographs

  1. Recent projects
  2. W. Marszalek, Applied Differential-Algebraic Equations, monograph, submitted, 2006.
  3. W. Marszalek, Z. Trzaska, New solutions of resistive MHD systems with singularity induced bifurcations, IEEE Trans. on Plasma Science, vol.35, no.2, pp.509-515, 2007.
  4. W. Marszalek, Z. Trzaska, Bifurcations of MHD DAEs at singularities, 2007 European Control Conference, Kos (Greece), 2-5 July 2007, accepted.
  5. W. Marszalek, Z. Trzaska, Singularity induced bifurcations of dissipative MHD systems, The 15th Mediterranean Conf. on Control and Automation (MED'07), Athens (Greece), 27-29 June, 2007, accepted.
  6. W. Marszalek, Z. Trzaska, On the Hopf and singularity induced bifurcations in power systems, 2007 American Control Conference, New York, 11-13 July 2007, accepted.
  7. Z. Trzaska, W. Marszalek, Computing periodic solutions of linear differential-algebraic systems with nonsingular excitations, Archiv of Electrical Engineering, vol. LI, no.3-4, pp.255-271, 2006.
  8. W. Marszalek, Z. Trzaska, DAE models of electrical power systems and their bifurcations around singularities, 43rd IEEE CDC'04, 14-17 Dec. 2004, Paradise Island, Bahamas.
  9. W. Marszalek, Z. Trzaska, Singularity induced bifurcations in power systems, IEEE Trans. on Power Systems, vol.20, no.1, pp.312-320, Feb. 2005.
  10. Z. Trzaska, W. Marszalek, Optimal transformations of asymmetric elements in three-phase networks, European Transactions on Electrical Power (ETEP), vol.15, no.2, pp. 144-155, 2005.
  11. W. Marszalek, Z. Trzaska, A boundary value problem for linear PDAEs, Int. J. Applied Math. and Computer Sci., 2002, vol.12, no.4, pp.101-105
  12. W. Marszalek, T. Amdeberhan, and R. Riaza, Singularity crossing phenomena in DAEs: a two-phase fluid flow application case study, Computers and Mathematics with Appl., 2005, vol.49, nos.1-2, pp.303-319.
  13. R. Riaza, S. L. Campbell, W. Marszalek, On singular equilibria of index-1 DAEs, Circuits, Systems, and Signal Processing, vol19, no.2, pp.1-27, 2000
  14. W. Marszalek, S.L. Campbell, DAEs arising from traveling wave solutions of PDEs II, Comp. Math. Appl., vol.37, no.1, pp.15-34, 1999
  15. S.L. Campbell, W. Marszalek, Index of infinite dimensional differential algebraic equations, Mathematical and Computer Modeling of Dynamical Systems, vol.5, no.1, pp.18-42, 1999
  16. S.L. Campbell, W. Marszalek, Mixed symbolic-numerical computations with general DAEs: an applications case study, Numerical Algorithms, vol.19, pp.85-94, 1998
  17. S.L. Campbell, W. Marszalek, The interaction between simulation and modeling in infinite dimensional systems, in: Theory and Practice of Control Systems, A. Tornambe, G. Conte, A.M. Perdon (eds.), World Scientific, 1998
  18. S.L. Campbell, W. Marszalek, DAEs arising from traveling wave solutions of PDEs I, J. Comp. Appl. Math., vol.82, pp.41-58, 1997
  19. S.L. Campbell, W. Marszalek, ODE/DAE integrators and MOL problems, Zeitschrift fuer Angewandte Mathematik und Mechanik (ZAMM),pp.251-254, 1996
  20. W. Marszalek, Z. W. Trzaska, Analysis of implicit hyperbolic multivariable systems, Appl. Math. Modeling, vol.19, pp.400-410, 1995
  21. W. Marszalek, H. Unbehauen, A simple method of recursive parameter identification of a class of distributed parameter systems, Int. J. Syst. Sci., vol.23, 1993
  22. Z.W. Trzaska, W. Marszalek, Inversion of matrix pencils for generalized systems, J. Franklin Inst., vol.330, pp.479-490, 1993
  23. Z.W. Trzaska, W. Marszalek, Singular distributed parameter systems, IEE Proceedings, Pt.D, Control Theory and Appl., vol.140, pp.305-308, 1993
  24. F.L. Lewis, B.G. Mertzios, and W. Marszalek, Analysis of singular bilinear systems using Walsh functions, IEE Proceedings, Pt.D, Control Theory and Appl., vol.138, pp.3-10, 1991Q
  25. W. Marszalek, Orthogonal functions analysis of singular systems with impulsive responses, IEE Proceedings, Pt.D, Control Theory and Appl., vol.137, pp.84-86, 1990
  26. F.L. Lewis, W. Marszalek, and B.G. Mertzios, Walsh function analysis of 2-D generalized continuous systems, IEEE Trans. Automatic Control, vol.AC-35, pp.1140-1144, 1990
  27. G.T. Kekkeris, W. Marszalek, Recursive analysis of two-dimensional discrete systems: an operational approach, J. Franklin Inst., vol.327, pp.457-464, 1990
  28. W. Marszalek, Remarks on applications of 2D singular models, in: R. Hanus, P. Kool, S. Tzafestas (eds) Mathematical and Intelligent Models in System Simulation, Baltzer AG, IMACS'91, pp.163-167, 1991
  29. W. Marszalek, Structure analysis of singular systems with orthogonal functions, WSI Press, Opole (Poland), 1990 (Monograph in Polish)
  30. W. Marszalek, J. Sadecki, Dynamic programming for 2-D discrete linear systems, IEEE Trans. Automatic Control, vol. AC-34, pp.181-184, 1989
  31. W. Marszalek, G.T. Kekkeris, Sensitivity analysis of systems involving $\lambda$-variation via block-pulse functions, Int. J. Syst. Science, vol.20, pp.2003-2009, 1989
  32. W. Marszalek, G.T. Kekkeris, A note on the error analysis of the orthogonal series solution of linear time invariant systems, Int.J. Syst. Science, vol.20, pp.2351-2353, 1989
  33. W. Marszalek, G.T. Kekkeris, Heat exchangers and linear image processing theory, Int. J. Heat and Mass Transfer, vol.32,pp.2363-2375, 1989
  34. W. Marszalek, J. Sadecki, Parallel dynamic programing for 2D discrete linear systems, Arch. Autom. and Telemech., vol.XXXIV, no.4, 1989
  35. Z.W. Trzaska, W. Marszalek, Theory of Electrical Engineering, Pt. I and II, WSI Press, Opole (Poland), 1988 (Monograph in Polish)
  36. W. Marszalek, Optimal estimation in two-dimesional discrete systems, Bull. Polish Acad. Sciences, Techn. Series, vol.36, no.5-6, 1988
  37. W. Marszalek, On solving of some heat exchangers problems via image processing equations, Arch. Termodynamiki, vol.8, pp.55-72, 1987
  38. W. Marszalek, On modeling of distributed parameter processes with two-dimensional discrete state-space equations, Rozprawy Elektrotechniczne, vol.XXXIII, no.3, 1987
  39. W. Marszalek, Two-dimensional discrete Roesser's model for the Poisson equation, Rozprawy Elektrotechniczne, vol.XXXIII, no.1, pp.3-10, 1987 (in Polish)
  40. Z.W. Trzaska, W. Marszalek, Theory of Electrical Circuits and Systems, WSI Press, Opole (Poland), 1987 (Monograph in Polish)
  41. W. Marszalek, Two-dimensional discrete model with varying coefficients, IEE Proceedings, Pt.D, Control Theory and Appl., vol.133, pp.177-183, 1986
  42. W. Marszalek, Piecewise-constant analysis of bilinear systems, Arch. Elektrotech., vol.XXXV, pp.541-552, 1986 (in Polish)
  43. T. Kaczorek, W. Marszalek, Output dead-beat control problem for Roesser's model with variable coefficents, Bull. Polish Acad. Sciences, Techn. Series, vol.33, pp.513-518, 1985
  44. W. Marszalek, Analysis of bilinear systems with Picard's method and block-pulse operational matrices, J. Franklin Inst., vol.320, pp.105-109, 1985
  45. W. Marszalek, On using orthogonal functions for the analysis of singular systems, IEE Proceedings, Pt.D, Control Theory and Appl., vol.132, pp.131-132, 1985
  46. W. Marszalek, On the nature of block-pulse operational matrices: some further results, Int. J. Syst. Science, vol.16, pp.727-743, 1985
  47. W Marszalek, Remarks on 'Minimum energy control of time-delay systems via Walsh functions', Optimal Control, Appl. and Methods, vol.6, pp.65-68, 1985
  48. W. Marszalek, Two-dimensional state-space models for hyperbolic PDEs, Appl. Math. Modeling, vol.8, pp.11-14, 1984
  49. W. Marszalek, On the nature of block-pulse operational matrices, Int. J. Syst. Science, vol.15, pp.983-989, 1984
  50. W. Marszalek, Block-pulse functions method of the inverse Laplace transform for irrational and transcendental transfer functions, J. Franklin Inst., vol.318, pp.193-200, 1984
  51. W. Marszalek, Discrete-time approximation via bilinear transformation, Found. Control Engineering, vol.9, pp.167-176, 1984
  52. W. Marszalek, Two-dimensional inverse Laplace transform via block-pulse functions method, Int. J. Syst. Sci., vol.14, pp.1311-1317, 1983
  53. W. Marszalek, Solution of matrix differential equations via Walsh functions, Alta Frequenza, vol. LI, pp.50-52, 1982





    Conference papers

  54. W. Marszalek, Teaching mathematics to engineering students, AMS-MAA Joint Meetings, Baltimore, 15-18 January 2003.
  55. W. Marszalek, T. Amdeberhan, Traveling wave DAEs in spray dynamics, Invited minisymposium talk at SciCADE'01, Vancouver (Canada), July 29 - Aug. 3, 2001.
  56. W. Marszalek, A boundary value problem for linear PDAEs (Invited paper), NUMDIFF-9 Conference, Halle (Germany), 4-8 Sept. 2000
  57. W. Marszalek, Traveling waves and differential algebraic equations, EUROMECH 3rd European Nonlinear Oscillation Conference, Copenhagen (Denmark), 8-12 Aug. 1999
  58. W. Marszalek, Singularity induced bifurcations in differential algebraic equations Fourth SIAM Conference on Control and Its Applications, Sect. CP16, Jacksonville, FL, May 7-9, 1998
  59. S.L. Campbell, R. Hollenbeck, and W. Marszalek, Mixed symbolic-numerical computations with general DAEs, Proc. Symp. Differential-Algebraic Equations: Algebraic and Numerical Aspects, Grenoble (France), May 26-29, pp.23-34, 1997
  60. W. Marszalek, H. Unbehauen, Second order generalized linear systems arising in analysis of flexible beams, Proc. 31st IEEE CDC, Tucson, AZ (USA), 1992
  61. W. Marszalek, Structure analysis of purely singular systems with orthogonal functions, Proc. IMACS-IFAC Symp. MCTS'91, Lille (France), pp.170-175, 1991
  62. W. Marszalek, An example of a 3D singular system, Proc. II Int. Symp. Implicit and Robust Systems, Warsaw (Poland), pp.30-33, 1991
  63. W. Marszalek, J. Sadecki, A dynamic programming succesive approximation technique for 2D discrete linear systems, Proc. IFAC Workshop System Structure and Control: State-Space and Polynomial Methods, Prague (Czech Republic), pp.265-268, 1989