S. Vologiannidis
Dissertation

[1] S. Vologiannidis, Algebraic - polynomial computational methods in Control Theory, Department of Mathematics, Aristotle University of Thessaloniki, Greece, 2005.

 

Papers in International Journals

[1] N. P. Karampetakis and S. Vologiannidis, DFT calculation of the generalized and drazin inverse of a polynomial matrix, Applied Mathematics and Computation, 143 (2003), pp 501-521. (full paper available here) [Citations ~=10]

[2] S. Vologiannidis and N. P. Karampetakis, Inverses of Multivariable Polynomial Matrices by Discrete Fourier Transform, Multidimensional Systems and Signal Processing, 15 (4): 341-361, October 2004. (full paper available here) [Citations ~=8]

[3] N. P. Karampetakis and S. Vologiannidis, Infinite elementary divisor structure-preserving transformations for polynomial matrices, International Journal of Applied Mathematics and Computer Science, 2003, Vol. 13, No 4, pp 493-503. [Citations ~=8]

[4] N. P. Karampetakis S. Vologiannidis and A.I.G. Vardulakis, A new notion of equivalence for discrete time AR representations, International Journal of Control, 15 April 2004, Vol. 77, No. 6, pp 584-597. (full paper available here)

[5] E.N. Antoniou, S. Vologiannidis, A new family of companion forms of polynomial matrices, Electronic Journal of Linear Algebra, 2004, Vol. 11, pp 78-87. (full paper available here) [Citations ~=30]

[6] E.N. Antoniou, A.I.G. Vardulakis and S. Vologiannidis, 2003, Numerical Computation of Minimal Polynomial Bases: A Generalized Resultant Approach, Linear Algebra and its Applications, Volume 405, 1 August 2005, Pages 264-278. [Citations ~=8]

[7] E.N. Antoniou, S. Vologiannidis, Linearizations of polynomial matrices with symmetries and their applications, Electronic Journal of Linear Algebra, volume 15 (2006), pages 107-114. (full paper available here) [Citations ~=13]

[8] N. Karampetakis, E.N. Antoniou, A.I.G. Vardulakis, S. Vologiannidis, Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering, Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering, Lecture Notes in Computer Science, Theoretical Computer Science and General Issues, Springer, 2009, ISBN: 978-3-642-04771-8.

[9] N.P. Karampetakis, S. Vologiannidis, On the fundamental matrix of the inverse of a polynomial matrix and applications to ARMA representations, Linear Algebra and its Applications, Volume 431, Issue 11, 1 November 2009, pages 2261-2276. (full paper available here)

[10] S. Vologiannidis, E.N. Antoniou, A permuted factors approach for the linearization of polynomial matrices, Mathematics of Control, Signals, and Systems, March 2011 (full paper available here).

 

Papers presented in International Conferences

[1] N. P. Karampetakis, S. Vologiannidis and A.I. Vardulakis, Notions of equivalence for discrete time AR-representations, 15th IFAC World Congress 2002, Barcelona. (Presentation available in PDF, PPT)

[2] N. P. Karampetakis and S. Vologiannidis, Infinite elementary divisor structure-preserving transformations for polynomial matrices, 8th IEEE International Conference on Methods and Models in Automation and Robotics, Szczecin, Poland, 2-5 September, 2002.

[3] N. P. Karampetakis and S. Vologiannidis, DFT calculation of the generalized and drazin inverse of a polynomial matrix, IEEE Conference on Computer Aided Control System Design CACSD’02, Glasgow, Scotland, 18-20 September 2002. (Presentation available in PDF, PPT)

[4] A.I. Vardulakis, N. P. Karampetakis, E. Antoniou, P. Tzekis and S. Vologiannidis, 2003, A descriptor systems package for Mathematica, 11th IEEE Mediterranean Conference on Control and Automation (MED'03), Rhodes, Greece. (Presentation available in PDF, PPT)

[5] S. Vologiannidis and N. P. Karampetakis, Inverses of Multivariable Polynomial Matrices by Discrete Fourier Transforms, European Control Conference 2003, Cambridge, 1-4 September 2003, U.K. (Presentation available in PDF, PPT)

[6] N. P. Karampetakis and S. Vologiannidis, On the Laurent series expansion of the resolvent of a polynomial matrix and applications, 12th IEEE Mediterranean Conference on Control and Automation (MED'04), Kusadasi, 6-9 June 2004, Turkey (Presentation available in PDF, PPT)

[7] E.N. Antoniou, A.I.G. Vardulakis and S. Vologiannidis, On the Computation of Minimal Polynomial Bases, 12th IEEE Mediterranean Conference on Control and Automation (MED'04), Kusadasi, 6-9 June 2004, Turkey.

[8] Petr Kujan, Martin Hromcík, Michael Šebek, N.P. Karampetakis, E.N. Antoniou, S. Vologiannidis, Effective computations with 2-variable polynomial matrices in Mathematica, 12th IEEE Mediterranean Conference on Control and Automation (MED'04), Kusadasi, 6-9 June 2004, Turkey.

[9] E.N. Antoniou, S. Vologiannidis, N. Karampetakis, Linearizations of polynomial matrices with symmetries and their applications, Proc. of the Joint 2005 International Symposium on Intelligent Control & 13th Mediterranean Conference on Control and Automation (2005 ISIC-MED), June 2005, Limassol, Cyprus. (Presentation available in PDF, PPT)

[10] Antonis Vardulakis, Nikos Karampetakis, Efstathios Antoniou, Stavros Vologiannidis, A Mathematica-based Package for Descriptor Systems, 9th IEEE International Symposium on Computer-Aided Control System Design, September 3-5, 2008, San Antonio, Texas (USA).

[11] N. Karampetakis, E.N. Antoniou, A.I.G. Vardulakis, S. Vologiannidis, Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering, Eurocast 2009 Workshop on Intelligent Information Processing, 15/2/2009 – 20/2/2009, Las Palmas de Gran Canaria, Spain.

[12] S. Vologiannidis, E.N. Antoniou, A permuted factors approach for the linearization of polynomial matrices, Applied Linear Algebra 2010, 24-28 May 2010, Novisad, Serbia. (presentation)

[13] S. Vologiannidis, E.N. Antoniou, Extended Fiedler linearizations and eigenvector recovery, 17th ILAS Conference, August 22 to August 26, 2011, Technical University of Braunschweig, Germany.

 

Internal reports