RESEARCH

  • FWF-Project P22535-N18 : Observer and Compensator Design via Quotient Signal Modules 2010-2012 (with I. Blumthaler, M. Scheicher)
  • Multidimensional Observers via Serre Categories and Gabriel Localizations (with M. Scheicher), pp.1-33, submitted to SIAM Journal Control Optim. 2012
  • Time-autonomy and time-controllabiliy of discrete multidimensional behaviors (with M. Scheicher), pp.1-31, to appear 2012 in International Journal of Control
  • Design, parametrization, and pole placement of stabilizing output feedback compensators via injective cogenerator quotient signal modules (with I. Blumthaler)  Linear Algebra
  • and its Applications 436(2012), 963-100 pdf
  • Elimination, fundamental principle and duality for analytic linear systems of partial differential-difference equations with constant coefficients (with H. Bourles), pp.1-42, submitted to Mathematics of Control, Signals and Systems pdf
  • The significance of Gabriel localization for stability and stabilization of multidimensional input/output behaviors, pp.1651-1655 in Proceedings MTNS 2010, Budapest pdf
  •  Duality for Differential-Difference Systems over Lie Groups (with H. Bourles),  SIAM J. Control Optimization 48(2009), 2051-2084 pdf
  • T-observers (with I. Blumthaler),  Linear Algebra and its Applications 430(2009), 2416-2447 pdf
  • Regular  almost interconnection of multidimensional behaviors, SIAM J. Control Optimization 48(2009), 463-480 pdf
  • Proper Stabilisation of Multidimensional Input/Output Behaviours (with M. Scheicher), Multidimensional Systems and Signal Processing 20(2009), 185-216 pdf
  • Multidimensional BIBO Stability and Jury's Conjecture (with M. Scheicher), Math. Control, Signals and Systems 20(2008), 81-109 pdf
  • A survey of (BIBO) stability and (proper) stabilization of multidimensional input/output systems (with M. Scheicher), Radon Series Comp. Appl. Math. 3, 151-190, de Gruyter 2007
  • Solving Systems of Linear Partial Difference and Differential Equations with Constant Coefficients Using Gröbner Bases (with F. Pauer), pp.23-41 in M. Rosenkranz, D. Wang (Editors), Gröbner Bases in Symbolic Analysis, Radon Series Comp. Appl. Math.2, de Gruyter, Berlin, 2007
  • The Fast Fourier Transform, SIAM J. Control Optim. 46(2007), 496-540 pdf
  • Stability and Stabilization of Multidimensional Input/Output Systems, SIAM J. Control Optim. 45(2006), 1467-1507 pdf
  • Canonical State Representations and Hilbert Functions of Multidimensional Systems, Acta Appl. Math. 94(2006), 83-135 pdf
  • Canonical State Representations and Hilbert Functions of Multidimensional Systems, talk at the conference D3 ofthe Gröbner-Semester in Linz in May 2006, with a discussion of remarks of Professor Pommaret after my talk and several historicalcomments, pp.1-45, homepage of the Gröbner-Semester, June 2006 pdf
  • The constructive solution of linear systems of partial difference or differential equations with constant coefficients , pp.205-233 in B. Hanzon and M. Hazewinkel (Editors), Constructive Algebra and Systems Theory, Royal Netherlands Academy of Arts and Sciences, Amsterdam, 2006
  • On Inverse Systems and Squarefree Decomposition of Zero-Dimensional Polynomial Ideals (with W.Heiß and F.Pauer), J.Symbolic Computation 41(2006), 261-284
  • Linear Recurring Arrays, Linear Systems and Multidimensional Cyclic Codes over Quasi-Frobenius Rings (with Peizhong Lu and Mulan Liu), Acta Applicandae Mathematicae 80(2004), 175-198
  • The constructive solution of linear systems of partial difference or differential equations with constant coefficients (with F. Pauer), Multidimensional Systems and Signal Processing 12(2001), 253-303 pdf
  • A Behavioural Approach to the Pole Structure of 1D and nD Linear Systems (with J.Wood, E.Rogers, D.H.Owens),
    SIAM J.Control Opt. 38(2000), 627-661
  • The Construction of Noetherian Operators, Journal of Algebra 222(1999), 595-620 pdf
  • The Optimal Fast Gelfand, Fourier and Hartley Transforms (FGT, FFT, FHT) (with S.Walch), Research Monograph, in progress
  • Transfer Operators and State Spaces for Discrete Multidimensional Systems (with S.Kleon), Acta Appl.Math 57(1999),1-82
  • Continuous Time-Varying Linear Systems (with S.Froehler), Systems and Control Letters 35(1998), 97-110 pdf
  • Equivariant Fast Gelfand and Fourier Transforms: Algorithms and Computer Implementations (with S.Walch), Proceedings MTNS 98 Padova, 899-902
  • Finite Dimensional Systems of Partial Differential or Difference Equations, Advances of Applied Mathematics 17(1996), 337-356 pdf
  • Variations on the Fundamental Principle for Linear Systems of Partial Differential and Difference Equations with Constant Coefficients, AAECC 6 (1995), 211-243
  • On the Minimal Number of Trajectories Determining a Multidimensional System,
    Math.Contr.Sign.Syst.6 (1993), 264-288
  • The Canonical Cauchy Problem for Linear Systems of Partial Difference Equations with Constant Coefficients over the Complete r-dimensional Integral Lattice Zr
    (with E.Zerz ), Acta Appl. Math.31(1993), 249-273
  • Galois Theory and the Fast Gelfand Transform, Publ. 99 (1992), 1-34, Centro Matematico Vito Volterra, Universita di Roma II
  • Multidimensional Constant Linear Systems, Acta Appl.Math. 20 (1990), 1-175 pdf
  • Actions of Formal Groups on Formal Schemes, Applications to Control Theory and Combinatorics in Lecture Notes in Mathematics 1156 (1985), 214-269