Personal Info
Head of Computer Science and Numerical Analysis Section of the Department of Mathematics of Aristotle University of Thessaloniki.
Head of Computer Science and Numerical Analysis Section of the Department of Mathematics of Aristotle University of Thessaloniki.
More Info
A short CV is available in Acrobat PDF format
A more detailed CV is available in Acrobat PDF format
A list of publications with some pdf files is available
AMERICAN MATHEMATICAL SOCIETY, MathSciNet Link
ICI Web of SCIENCE. Science Citation Index.
Publications
International Journal Publications
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A. Vardulakis,
1975,
A sufficient condition for n specified eigenvalues to be assigned under constant output feedback,
IEEE Transactions on Automatic Control, Volume: 20, Issue: 3, pages: 428 - 429,
DOI:10.1109/TAC.1975.1100986.
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A. I. G. VARDULAKIS, P. N. R. STOYLE,
1978,
Generalized Resultant Theorem,
IMA J Appl Math (1978) 22 (3): 331-335,
DOI:10.1093/imamat/22.3.331.
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A. I. VARDULAKIS,
1978,
The structure of multivariable systems under the action of constant output feedback control laws,
International Journal of Control, Volume 27, Issue 2, 1978, pages 261-269,
DOI:10.1080/00207177808922363.
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A. I. G. VARDULAKIS,
1978,
On the structure of the bases of all possible controllability subspaces of a controllable pair [A, B] in canonical form,
International Journal of Control, Volume 28, Issue 3, 1978, pages 393-409,
DOI:10.1080/00207177808922466.
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P. N. R. STOYLE, A. I. G. VARDULAKIS,
1979,
The mechanism of decoupling,
International Journal of Control, Volume 29, Issue 4, 1979, pages 589-605,
DOI:10.1080/00207177908922722.
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P. N. R. STOYLE, A. I. G. VARDULAKIS,
1979,
On certain connections between the geometric and the polynomial matrix approaches to linear system theory,
International Journal of Control, Volume 29, Issue 4, 1979, pages 565-588,
DOI:10.1080/00207177908922721.
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A. Vardulakis, P. Stoyle,
1979,
An algorithm for decoupling and maximal pole assignment in multivariable systems by the use of state feedback,
IEEE Transactions on Automatic Control, Volume: 24, Issue: 2, pages: 362 - 365,
DOI:10.1109/TAC.1979.1102019.
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ANTONIS I. G. VARDULAKIS,
1980,
Zero placement and the ‘ squaring down ’ problem: a polynomial matrix approach,
International Journal of Control, Volume 31, Issue 5, 1980, pages 821-832,
DOI:10.1080/00207178008961085.
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ANTONIS I. G. VARDULAKIS,
1980,
On infinite zeros,
International Journal of Control, Volume 32, Issue 5, 1980, pages 849-866,
DOI:10.1080/00207178008922894.
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A. Vardulakis,
1981,
On the structure of maximal -Invariant subspaces: A polynomial matrix approach,
IEEE Transactions on Automatic Control, Volume: 26, Issue: 2, pages: 422 - 428,
DOI:10.1109/TAC.1981.1102591.
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P. N. R. STOYLE, A. I. G. VARDULAKIS,
1981,
(A, B)-invariant subspaces and polynomial matrix algebra— towards a more integrated approach. Part I: Square systems,
International Journal of Control, Volume 34, Issue 1, 1981, pages 1-30,
DOI:10.1080/00207178108922512.
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ANTONIS I. G VARDULAKIS, NICOS KARCANIAS,
1983,
Classification of proper bases of rational vector spaces: minimal MacMillian degree bases,
International Journal of Control, Volume 38, Issue 4, 1983, pages 779-809,
DOI:10.1080/00207178308933111.
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A. Vardulakis, N. Karcanias,
1983,
Relations between strict equivalence invariants and structure at infinity of matrix pencils,
IEEE Transactions on Automatic Control, Volume: 28, Issue: 4, pages: 514 - 516,
DOI:10.1109/TAC.1983.1103254.
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A. I. G. VARDULAKIS, N. KARCANIAS,
1983,
Structure, Smith-MacMillan form and coprime MFDs of a rational matrix inside a region P =ω∪{∞},
International Journal of Control, Volume 38, Issue 5, 1983, pages 927-957,
DOI:10.1080/00207178308933120.
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A. Vardulakis,
1984,
Proper rational matrix diophantine equations and the exact model matching problem,
IEEE Transactions on Automatic Control, Volume: 29, Issue: 5, pages: 475 - 477,
DOI:10.1109/TAC.1984.1103566.
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A. Vardulakis, N. Karcanias,
1984,
Proper and stable, minimal MacMillan degrees bases of rational vector spaces,
IEEE Transactions on Automatic Control, Volume: 29, Issue: 12, pages: 1118 - 1120,
DOI:10.1109/TAC.1984.1103456.
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ANTONIS I. G. VARDULAKIS,
1986,
On the computation of proper, feedforward internally stabilizing and pole-placing compensators,
International Journal of Control, Volume 44, Issue 1, 1986, pages 267-275,
DOI:10.1080/00207178608933597.
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A. Vardulakis,
1987,
Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation,
IEEE Transactions on Automatic Control, Volume: 32, Issue: 8, pages: 735 - 739,
DOI:10.1109/TAC.1987.1104701.
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A. I. G. VARDULAKIS,
1988,
Necessary and sufficient condition for stability robustness under known additive perturbation,
International Journal of Control, Volume 47, Issue 5, 1988, pages 1259-1266
DOI:10.1080/00207178808906093.
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A. I. G. Vardulakis, G. Fragulis,
1989,
Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations,
Circuits, Systems and Signal Processing, 1989, Volume 8, Issue 3, pp 357-373,
DOI:10.1007/BF01598420.
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G. Fragulis, B.G. Mergios and A.I.G. Vardulakis,
1991,
Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion,
International Journal of Control, Vol. 53, No. 2, pp 431-443, 1991.
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N.P. Karampetakis, A. I. VARDULAKIS,
1992,
Matrix fractions and full system equivalence,
IMA J Math Control Info (1992) 9 (2): 147-160,
DOI:10.1093/imamci/9.2.147.
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A. C. PUGH, N. P. KARAMPETAKIS, G. E. HAYTON, A. I. VARDULAKIS,
1993,
On a certain McMillan-degree condition appearing in control,
Ima Journal of Mathematical Control and Information - IMA MCI 01/1993; 10(4):361-373,
DOI:10.1093/imamci/10.4.361.
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N. P. KARAMPETAKIS, A. I. VARDULAKIS,
1993,
Generalized state-space system matrix equivalents of a Rosenbrock system matrix,
Ima Journal of Mathematical Control and Information - IMA MCI 01/1993; 10(4):323-344. ,
DOI:10.1093/imamci/10.4.323.
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George F. Fragulis, Antonis I. G. Vardulakis,
1994,
Evaluation of the reachability subspace of general form polynomial matrix descriptions (PMDs),
Kybernetika, Vol. 30 (1994), No. 6, 617-628.
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A.C. Pugh, N.P. Karampetakis, A.I.G. Vardulakis, G.E. Hayton,
1994,
A fundamental notion of equivalence for linear multivariablesystems,
IEEE Transactions on Automatic Control, Volume:39, Issue:5, pages: 1141 - 1145,
DOI:10.1109/9.284911.
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N. P. KARAMPETAKIS, A. C. PUGH, A. I. VARDULAKIS,
1994,
Equivalence transformations of rational matrices and applications,
International Journal of Control, Volume 59, Issue 4, 1994, pages 1001-1020
DOI:10.1080/00207179408923114.
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N. P. KARAMPETAKIS, B. G. MERTZIOS, A. I. G. VARDULAKIS,
1994,
Computation of the transfer function matrix and its Laurent expansion of generalized two-dimensional systems,
International Journal of Control, Volume 60, Issue 4, 1994, pages 521-541,
DOI:10.1080/00207179408921479.
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G. F. Fragulis, A. I. G. Vardulakis,
1995,
Reachability of Polynomial Matrix Descriptions (PMDs),
Circuits, Systems and Signal Processing, 1995, Volume 14, Issue 6, pp 787-815,
DOI:10.1007/BF01204685.
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N.P. Karampetakis, A.C. Pugh, A.I. Vardulakis, G.E. Hayton,
1996,
An extension of Wolovich's definition of equivalence of linear systems,
IEEE Transactions on Automatic Control, Volume: 41, Issue: 2, pages: 228 - 232
DOI:10.1109/9.481523.
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S. Antoniou, N. Karampetakis, A. Vardulakis,
1997,
A classification of the solutions of non-regular, discrete-time descriptor systems,
Proceedings of the 36th IEEE Conference on Decision and Control, 1997.
DOI:10.1109/CDC.1997.652327.
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P. Tzekis, N.P. Karampetakis, A. I. VARDULAKIS,
1999,
On the division of polynomial matrices,
IMA J Math Control Info (1999) 16 (4): 391-401,
DOI:10.1093/imamci/16.4.391.
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A. I. G. Vardulakis, E. Antoniou, N. Karampetakis,
1999,
On the Solution and Impulsive Behavior of Polynomial Matrix Descriptions of Free Linear Multivariable Systems,
International Journal of Control, Volume 72, Issue 3, 1999, pages 215-228
DOI:10.1080/002071799221208.
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E. N. Antoniou, A. I. G. Vardulakis,
1999,
A note on the action of constant pseudostate feedback on the internal properness of an ARMA model,
Automatica, Volume 35, Issue 8, August 1999, Pages 1453–1456,
DOI:10.1016/S0005-1098(99)00039-4.
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N. P. Karampetakis, S. Vologiannidis, A. I. G. Vardulakis,
2004,
A new notion of equivalence for discrete time AR representations,
International Journal of Control - INT J CONTR 01/2004; 77(6):584-597,
DOI:10.1080/002071709410001703223.
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E N Antoniou, A I G Vardulakis, S Vologiannidis,
2005,
Numerical computation of minimal polynomial bases: A generalized resultant approach,
Linear Algebra and its Applications 01/2005; 405:264-278,
DOI:10.1016/j.laa.2005.03.017.
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E. N. Antoniou, A. I. G. Vardulakis,
2005,
On the computation and parametrization of proper denominator assigning compensators for strictly proper plants,
IMA Journal of Mathematical Control and Information 05/2005; vol. 25.,
DOI:10.1093/imamci/dni002.
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N. P. Karampetakis, A. I. G. Vardulakis,
2006,
Special issue on the use of computer algebra systems for computer aided control system design,
International Journal of Control - INT J CONTR 01/2006; 79(11):1313-1320,
DOI:10.1080/00207170600882346.
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Antonis Vardulakis, Clive Pugh,
2008,
Plato’s hidden theorem on the distribution of primes,
The Mathematical Intelligencer 08/2008; 30(3):61-63,
DOI:10.1007/BF02985381.
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Antonis-Ioannis G. Vardulakis, Nicholas P. Karampetakis, Efstathios N. Antoniou, Evangelia Tictopoulou,
2009,
On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems.,
Applied Mathematics and Computer Science 01/2009; 19:77-88,
DOI:10.2478/v10006-009-0007-5.
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Antonis-Ioannis G. Vardulakis, C. Kazantzidou,
2011,
Denominator Assignment, Invariants and Canonical Forms Under Dynamic Feedback Compensation in Linear Multivariable Systems.,
IEEE Trans. Automat. Contr 01/2011; 56:1180-1185,
DOI:10.1109/MED.2009.5164563.
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P. Tzekis, N. P. Karampetakis, A. I. G. Vardulakis,
RATRIX : A RATional matRIX calculator for computer aided analysis and synthesis of linear multivariable control systems.
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E N Antoniou, A I G Vardulakis, N P Karampetakis,
A spectral characterization of the behavior of discrete time AR-representations over a finite time interval,
Kybernetika.
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S. Vologiannidis, A. I. Vardulakis,
On a new notion of equivalence for polynomial matrices,
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A I Vardulakis, N P Karampetakis, E Antoniou, S Vologiannidis,
Descriptor systems toolbox: a Mathematica-based package for descriptor systems,
International Conference Publications
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Antonis I.G. Vardulakis, Nicos Karcanias,
1983,
Proper, Minimal Macmillan Degree, Bases of Rational Vector Spaces,
In proceeding of: American Control Conference, 1983.
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Antonis I. G. Vardulakis,
1986,
Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation,
25th IEEE Conference on Decision and Control, 1986, Volume: 25, pages: 707 - 712,
DOI:10.1109/CDC.1986.267427.
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A.C. Pugh, N.P. Karampetakis, A.I.G. Vardulakis, G.E. Hayton,
1992,
A fundamental notion of equivalence for linear multivariable systems,
Proceedings of the 31st IEEE Conference on Decision and Control, 1992,
DOI:10.1109/CDC.1992.371769.
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N.P. Karampetakis, A.C. Pugh, A.I.G. Vardulakis, G.E. Hayton,
1993,
An extension of Wolovich's definition of equivalence of linear systems,
Proceedings of the 32nd IEEE Conference on Decision and Control, 1993, vol.3, pages 2389 - 2394,
DOI:10.1109/CDC.1993.325625.
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S. Antoniou, N. Karampetakis, A. Vardulakis,
1997,
A classification of the solutions of non-regular, discrete-time descriptor systems,
Proceedings of the 36th IEEE Conference on Decision and Control, 1997, Volume: 4,
DOI:10.1109/CDC.1997.652327.
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J Vlioras, S N Antoniou, A I G Vardulakis,
1997,
Implementation of some Linear Multivariable Systems Algorithms via Maple,
Proceedings of the European Control Conference 1997 (ECC 97).
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A I Vardulakis, N P Karampetakis, E Antoniou, P Tzekis, S Vologiannidis,
2003,
A Descriptor Systems Package for Mathematica,
11th Mediterranean Conference on Control and Automation, 18-20 June 2003, Rhodes, Greece.
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E N Antoniou, A I G Vardulakis,
2003,
A numerical method for the computation of proper denominator assigning compensators for strictly proper plants,
11th Mediterranean Conference on Control and Automation, 18-20 June 2003, Rhodes, Greece.
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A.I. Vardulakis, N.P. Karampetakis, E. Antoniou, S. Vologiannidis,
2008,
Descriptor systems toolbox : a Mathematica-based package for descriptor systems,
In proceeding of: IEEE International Conference on Computer-Aided Control Systems, 2008. CACSD 2008.,
DOI:10.1109/CACSD.2008.4627359.
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Nicholas P. Karampetakis, Efstathios N. Antoniou, Antonis-Ioannis G. Vardulakis, S. Vologiannidis,
2009,
Symbolic Computations on Rings of Rational Functions and Applications in Control Engineering.,
In proceeding of: Computer Aided Systems Theory - EUROCAST 2009,
12th International Conference, Las Palmas de Gran Canaria, Spain, February 15-20, 2009,
DOI:10.1007/978-3-642-04772-5_76.
Books
Inverted Pendulum
- Inverted Pendulum User's Manual
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Analysis, Design and Implementation
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Control of an Inverted Pendulum
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Watch the videos
Self - Balancing Robot
- Watch the videos
Courses
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Προπτυχιακά Μαθήματα |
Seminars
Fundamental equivalence of discrete time AR representationsA.I.G. Vardulakis, E.N. Antoniou (PowerPoint)
A descriptor systems package for Mathematica (PowerPoint)
Η εικασία του Ζαχαρίου και το κρυφό θεώρημα του Πλάτωνος για την κατανομή των πρώτων αριθμών (Powerpoint)
Linear Multivariable Control. Methods Philosophy of the “Algebraic Approach”.
17th Mediterranean Conference on Control and Automation (PowerPoint)
Special Notes & Lectures
Generalized Wolovich Resultant TheoremA numerical method for the coputation of denominator assigning compensators for strictly proper plants
Plato’s hidden theorem on the distribution of primes
On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems
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Aristotle University of Thessaloniki, Mathematics Dept.