Research

Linear Time-Invariant Systems, Behaviors and Modules (a book survey), 1-645,  (with Ingrid and Martin Scheicher)

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  Two invariants for weak exponential stability of linear time-varying differential behaviors, Linear Algebra and its Applications 504(2016) , 468-486 pdf

    A constructive test for exponential stability of linear time-varying discrete-time systems,  AAECC (2017) 28:437–456, DOI 10.1007/s00200-017-0314-2

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Robust stabilization of discrete-time periodic linear systems for tracking and disturbance rejection (with H. Bourlès), published  in Mathematics of Control, Signals, Systems 28(2016), pp.1-34 pdf

Stabilizing compensators for linear time-varying differential systems,  International J of Control 89(2016) , 701-721, DOI: 10.1080/00207179.20151091949 pdf

Weak exponential stability of linear time-varying differential systems,  (with H. Bourlès and B. Marinescu), Linear Algebra and its applications 486(2015), 523-571, http://dx.doi.org/10.1016/j-laa.2015.08034   pdf

     The injectivity of the canonical signal module for multidimensional linear systems of difference equations with variable coefficients,  pp. 1-29 (with H. Bourlès and B. Marinescu),   Multidimensional Systems and Signal Processing 26(2015), 389-404,  DOI 10.1007/s11045-015-0331-x pdf

    Exponentially stable linear time-varying  discrete behaviors,   (with H. Bourlès, B. Marinescu),  SIAM Journal Control and Optimization 53(2015),  2725-2761, DOI: 10.1137/140988498   pdf

 Generalized convolution behaviors and topological algebra, (with H. Bourlès), Acta Applicandae Mathematicae 141(2016), 107-148,  DOI 10.1007/s10440-015-0007-4 pdf

The Computation of Purity Filtrations over Commutative Noetherian Rings of Operators and their Application to Behaviors,  Multidimensional Systems and Signal Processing 26(2015), 389–404, DOI 10.1007/s11045-013-0253-4 pdf

The asymptotic stability of stable and time-autonomous discrete multidimensional behaviors (with M. Scheicher),  Mathematics of Control, Signals, Systems 26 (2014), 215–258, DOI 10.1007/s00498-013-0114-6 pdf

 Multidimensional discrete stability by Serre categories and the construction and parametrization of observers via Gabriel localizations (with M. Scheicher),  SIAM Journal Control Optimization 51(2013), 1873-1908  pdf

Controllability up to negligible trajectories of discrete multidimensional behaviours (with M. Scheicher), Multidim Syst Sign Process 25 (2014), 563–581, DOI 10.1007/s11045-012-0218-z

Time-autonomy and time-controllabiliy of discrete multidimensional behaviors (with M. Scheicher), International Journal of Control 85(2012), 990-1009 pdf

  • 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), Mathematics of Control, Signals and Systems 24(2012), 351-402 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
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