A.I.G. Vardulakis
 
Publications in international refereed journals (1973-2002)

1. N. Munro and A.I.G. Vardulakis, Pole-shifting using output feedback, International Journal of Control, Vol. 18, No, 6, pp. 1267-1273, 1973.

2. N. Munro and A.I.G. Vardulakis, Computer-aided design procedure for reduced order observers, Proceedinggs of the IEE, Vol. 121, No. 4, pp. 210-212, 1974.

3. A.I.G. Vardulakis, A Sufficient Condition for n Specified Eigenvalues to be Assigned under Constant Output Feedback, IEEE Transactions on Automatic Control, Vol. AC-20, No. 3, pp. 428-429. 1975.

4. A.I.G. Vardulakis, Cyclicity and conversion to cyclicity, International Journal of Control, Vol. 22, No. 6, pp. 801-806, 1975.

5. A.I.G. Vardulakis, Generalized root-locus assignment of all the poles of a multivariable system by output feedback, International Journal of Control, Vol. 23, No. 1, pp. 39-47, 1976.

6. A.I.G. Vardulakis, On the structure of multivariable systems under the action of constant output feedback, International Journal of Control, Vol. 27, No. 2, pp. 261-269, 1978

7. A.I.G. Vardulakis, On the structure of the bases of all possible controllability subspaces ? of a controllable pair (A.B) in canonical form, International Journal of Control, Vol. 28, No. 3, pp. 393-409, 1978.

8. A.I.G. Vardulakis and P.N.R. Stoyle, Precompensator design for decoupling and pole assignment in multivariable systems, Systems Science, Vol. 5, No. 1, pp. 315-321, 1979.

9. A.I.G. Vardulakis and P.N.R Stoyle, Generalized Resultant Theorem, Journal of the Institute of Mathematics and its Applications, Vol. 22, pp. 331-335, 1978.

10. A.I.G. Vardulakis and P.N.R Stoyle, An Algorithm for decoupling and maximal pole-assignment in multivariable systems by the use of state feedback, IEEE Transactions on Automatic Control, Vol. AC-24, No. 2, pp. 362-365, 1979.

11. P.N.R Stoyle and A.I.G. Vardulakis, On certain connections between the geometric and polynomial matrix approaches to linear systems theory, International Journal of Control, Vol. 29, No. 4, pp. 565-588, 1979.

12. P.N.R Stoyle and A.I.G. Vardulakis, The Mechanism of Decoupling, International Journal of Control, Vol. 29, No. 4, pp. 589-595, 1979.

13. M.J. Denham and A.I.G. Vardulakis, Structural properties of Multivariable Systems, Proceedings of the IEE, Vol. 126, No. 8, pp. 591-595, 1979.

14. A.I.G. Vardulakis and P.N.R Stoyle, On the eigenvalue and eigenvector assignability properties of controllability subspaces, Regelungstechnik, Heft 9, pp. 300-301, 1979.

15. A.I.G. Vardulakis and P.N.R Stoyle, On the computation of controllability subspaces, International Journal of Systems Science, Vol. 10, No. 12, pp. 1343-1351, 1979.

16. A.I.G. Vardulakis, Zero placement and the “squaring down problem”. A polynomial matrix approach, International Journal of Control, Vol. 31, No. 5, pp. 821-832, 1980.

17. A.I.G. Vardulakis, On infinite zeros, International Journal of Control, Vol. 32, No. 5, pp. 849-866, 1980.

18. A.I.G. Vardulakis, Right divisors of numerator polynomial matrices and (A,B)-invariant subspaces, International Journal of Control, Vol. 32, No. 5, pp. 867-890, 1980.

19. A.I.G. Vardulakis, On the structure of maximal (A,B)-invariant subspaces: A polynomial matrix approach, IEEE Transactions on Automatic Control, Vol. AC-26, No. 2, pp. 422-428, 1981.

20. P.N.R. Stoyle and A.I.G. Vardulakis, (A,B)-invariant subspaces and polynomial matrix algebra. Towards a more integrated approach. Part I: square systems, International Journal of Control, Vol. 34, No. 6, pp. 1-30, 1981.

21. A.I.G. Vardulakis, On the state feedback diagonal decoupling of linear systems described by (A,B,C,D) quadruples, International Journal of Control, Vol. 34, No. 6, pp 1153-1161, 1981.

22. A.I.G. Vardulakis, D.J.N. Limebeer and N. Karcanias, Structure and Smith-McMillan form of a rational matrix at infinity, International Journal of Control, Vol. 35, No. 4, pp. 701-725, 1982.

23. A.I.G. Vardulakis and N. Karcanias, Relations between strict equivalence invariants and structure at infinity of matrix pencils, IEEE Transactions on Automatic Control, Vol. AC-28, N0. 4, pp. 514-516, 1983.

24. A.I.G. Vardulakis and N. Karcanias, Classifications of proper bases of rational vector spaces. Minimal McMillan degree bases, International Journal of Control, Vol. 38, No. 4, pp. 779-809, 1983.

25. A.I.G. Vardulakis and N. Karcanias, Structure, Smith-McMillan form and Coprime MFDs of a rational matrix inside a region ?=??{?}, International Journal of Control, Vol. 38, No. 5, pp 927-957, 1983.

26. A.I.G. Vardulakis, Proper rational matrix Diophantine equations and the exact model matching problem, IEEE Transactions on Automatic Control, Vol. AC-29, N0. 5, pp. 475-477, 1984.

27. A.I.G. Vardulakis and N. Karcanias, Proper and stable, minimal McMillan degree bases of rational vector spaces, IEEE Transactions on Automatic Control, Vol. AC-29, N0. 12, pp. 1118-1120, 1984.

28. A.I.G. Vardulakis and N. Karcanias, On the stable exact model matching and stable minimal design problems, Multivariable Control: New Concepts and Tools, Edited by S. Tsafestas, D. Reidel Publishing Co., 1984.

29. A.I.G. Vardulakis and N. Karcanias, On the stable exact model maching matching problem, Systems and Control Letters, Vol. 5, No. 4, pp 237-242, 1985.

30. A.I.G. Vardulakis, On the computation of proper, feedforward, internally stabilizing and pole placing compensators, International Journal of Control, Vol. 44, No. 1, pp 267-275, 1986.

31. A.I.G. Vardulakis, Smith-McMillan canonical forms for rational matrices, Encyclopedia for Systems and Control, Pergamon Press, 1987.

32. A.I.G. Vardulakis, Internal stabilization and decoupling in linear multivariable systems by unity output feedback compensation, IEEE Transactions on Automatic Control, Vol. AC-32, N0. 7, pp. 735-739, 1987.

33. A.I.G. Vardulakis, Necessary and sufficient condition for robustness under known additive perturbation, International Journal of Control, Vol. 47, No. 5, pp 1295-1266, 1988.

34. A.I.G. Vardulakis, Decoupling of linear multivariable systems by unity output feedback compensation, International Journal of Control, Vol. 50, No. 4, pp 1079-1088, 1989.

35. A.I.G. Vardulakis and G. Fragulis, Infinite elementary divisors of polynomial matrices and impulsive solutions of linear homogeneous matrix differential equations, Circuits Systems and Signal Processing, Vol. 8, No. 3, pp.357-372, 1989.

36. G. Fragulis, B.G. Mergios and A.I.G. Vardulakis, 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.

37. N.P Karampetakis and A.I.G. Vardulakis, Matrix fractions and full system equivalence, IMA Journal of Mathematical Control and Information, 9, pp . 147-160, 1992.

38. N.P Karampetakis and A.I.G. Vardulakis, Generalized state space system matrix equivalents of a Rosenbrock system matrix, IMA Journal of Mathematical Control and Information, 10, pp 323-344, 1993

39. A.C. Pugh, N.P. Karampetakis, G.E. Hayton and A.I.G. Vardulakis, On certain McMillan degree conditions appearing in control, IMA Journal of Mathematical Control and Information, 10, pp 361-373, 1993.

40. A.C. Pugh, N.P. Karampetakis, A.I.G. Vardulakis and G.E. Hayton, A fundamental notion of equivalence for linear multivariable systems, IEEE Transactions on Automatic Control, Vol. AC-39, N0. 5, pp. 1141-1145, 1994.

41. N.P. Karampetakis, A.C. Pugh and A.I.G. Vardulakis, Equivalence transformations of rational matrices and applications, International Journal of Control, Vol. 59, No. 4, pp 1001-1020, 1994.

42. N.P. Karampetakis, B.G. Merzios and A.I.G. Vardulakis, Computation of the transfer function matrix and its Laurent expansion of generalized two-dimensional systems, International Journal of Control, Vol. 60, No. 4, pp 521-541, 1994.

43. A.C. Pugh, N.P. Karampetakis, A.I.G. Vardulakis and G.E. Hayton, Structural properties of inverse linear systems, Kybernetica, Vol. 30, No. 6, pp 597-606, 1994.

44. G.F. Fragulis and A.I.G. Vardulakis, Reachability of polynomial matrix descriptions (PMDs), Circuits Systems Signal Process, Vol. 14, No. 6, pp. 787-815, 1995.

45. N.P. Karampetakis, A.I.G. Vardulakis and A.C. Pugh, A classification of generalized state space reduction methods for linear multivariable systems, Kybernetica, Vol. 31, No. 6, pp 547-557, 1995.

46. N.P. Karampetakis, A.C. Pugh, A.I.G. Vardulakis and G.E. Hayton, An Extension of Wolovich’s definition of equivalence of linear systems, IEEE Transactions on Automatic Control, Vol. AC-41, N0. 2, pp. 228-232, 1996.

47. E.N. Antoniou, A.I.G. Vardulakis and P.N. Karampetakis, A spectral characterization of the behavior of discrete time AR-representations over a finite time interval, Kybernetica, Vol. 34, No. 5, pp 555-564, 1998.

48. A.I.G. Vardulakis, E.N. Antoniou and P.N. Karampetakis, On the soilution and impulsive behaviour of polynomial matrix descriptions of free linear multivariable systems, International Journal of Control, Vol. 72, No. 3, pp 215-228, 1999.

49. E.N. Antoniou and A.I.G. Vardulakis, A note on the action of constant pseudostate feedback on the internal properness of an ARMA model, Automatica, Vol. 35, pp. 1453-1456, 1999.

50. P. Tzekis, P.N. Karampetakis and A.I.G. Vardulakis, On the division of polynomial matrices, IMA Journal of Mathematical Control and Information, Vol. 17, pp. 391-401, 1999.

51. P.N. Karampetakis and A.I.G. Vardulakis, On the reduction of a polynomial matrix model of a linear multivariable system to generalized state-space form, IMA Journal of Mathematical Control and Information, Vol. 17, pp. 1-42, 2000.

52. A.I.G. Vardulakis and E.N. Antoniou, Fundamental equivalence of discrete time AR-representations, to appear in the International Journal of Control (2003).

53. E.N. Antoniou and A.I.G. Vardulakis, numerical method for the computation of proper denominator assigning compensators for strictly proper plants, IMA Journal of Math. Control and Information, Vol. 22, No 1, March 2005, pp. 12-25.

54. N.P. Karampetakis, S. Vologiannidis and A.I.G. Vardulakis,
On a new notion of equivalence for polynomial matrices,
International Journal of Control, 15 April 2004, Vol. 77, No. 6, pp 584-597.

55. E.N. Antoniou, A.I.G. Vardulakis and S. Vologianidis, Numerical computation of minimal polynomial bases. A generalized resultant approach, Linear Algebra and its Applications, Volume 405, 1 August 2005, Pages 264-278.


Publications in Conference Proceedings


1. A.I. G. VARDULAKIS and G. FRAGULIS
Impulsive Behavior of Autonomous Generalized Singular Systems
Proceedings of the 1st European Control Conference ECC 91, JULY 1991, Grenoble, France.

2. N. KARABETAKIS and A.I.G. VARDULAKIS
Generalized State Space System Matrix Equivalents of a Rosenbrock System Matrix
Proceedings of the 1st European Control Conference, ECC 91, JULY 1991, Grenoble, France.

3. A.C. PUGH, N. KARABETAKIS, A.I.G. VARDULAKIS and G. E. HAYTON
A Fundamental Notion of Equivalence for Linear Multivariable Systems
Procedings of the 31st IEEE Conference on Decision and Control Tucson, Arizona, U.S.A. (1992).

4. A.C. PUGH, N. KARABETAKIS, G.E. HAYTON and A.I.G. VARDULAKIS
On Certain McMillan Degree Conditions Appearing in Control
Proceedings of the Sixth IMA Conference on Control Modeling, Computation, Information, UMIST 2-4 September 1992.

5. A.C. PUGH, N. KARABETAKIS, G.E. HAYTON and A.I.G. VARDULAKIS
On a Fundamental Notion of Equivalence in Linear Systems Theory
Proceedings of the 2nd IFAC Workshop on ``Systems Structure and Control'', pp.356-359, 3-5 September 1992, Prague, Czechoslovakia.

6. N. KARAMBETAKIS, A.C. PUGH and A.I. G.VARDULAKIS
Equivalence Transformations of Rational Matrices
Proceedings of the 2nd IFAC Workshop on ``Systems Structure and Control'', pp40-43, 3-5 September 1992, Prague, Czechoslovakia.

7. N. KARABETAKIS, B.G. MERGIOS and A.I.G. VARDULAKIS
Direct Controllability and Observability Time Domain Conditions of Generalized Dynamical Systems
Proceedings of the 1st European Control Conference, July 1991, Grenoble, France.

8. N. KARABETAKIS and A.I.G. VARDULAKIS
Polynomial Matrices and Equivalent Singular Pencils
Presented during the it Workshop on Singular Systems, City University, December 1991.

9. A.I.G. VARDULAKIS
On the Transformation of a Polynomial Matrix Model of a Linear Multivariable System to Generalized State Space Form
Proceedings of 30th IEEE Conference on Decision and Control, 11-13 December 1991, Brighton, U.K.

10. N. KARABETAKIS, A.C. PUGH and A.I.G. VARDULAKIS
An Extension of the Wolovich Definition of Equivalence
Proceedings of the 32nd IEEE Conference on Decision and Control, December 15-17, 1993, San Antonio, Texas.

11. N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the Solution Space of Singular State-Space AR Representations
Proceedings of the it Workshop on Singular and Implicit Systems, Automation and Robotics Research Institute, University of Texas at Arlington, December 14-15, 1992, Ft. Worth, Texas, U.S.A.

12. N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the Solution Space of Continuous Time AR Representations
Proceedings of the 2nd European Control Conference, Groningen, The Netherlands, June 1993.

13. N. KARAMPETAKIS, A.C. PUGH, A.I.G. VARDULAKIS and G.E. HAYTON
Structural Properties of square linear inverse systems,
Proceedings of the IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, June 21-23, 1993, Chania, Crete, Greece.

14. KARABETAKIS, B.G. MERGIOS and A.I.G. VARDULAKIS
Generalized models of 2-D linear discrete systems and computation of its transfer function
Proceedings of the Second European Control Conference, Groningen., The Netherlands, 1993.

15. N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the Solution Space of Discrete Time AR-Representations
Proceedings of the IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, June 21-23, 1993, Chania, Crete,
Greece.

16. N. KARABETAKIS, A.C. PUGH and A.I.G. VARDULAKIS
An Extension of the Wolovich Definition of Equivalence
Proceedings of the 32nd IEEE Conference on Decision and Control, December 15-17, 1993, San Antonio, Texas.

17. G.F. FRAGULIS and A.I.G. VARDULAKIS
Evaluation of the Reachability subspace of general form PMDs
Proceedings of the IEEE Mediterranean Conference on “New Directions of Control Theory and Applications”, pp. 307-310, 21-23 June 1993, Crete, Greece.

18. G.F. FRAGULIS and A.I.G. VARDULAKIS
Structural Properties of Internally Proper PMDs. Part I: Transformation into Fuhrmann equivalent state space model.
Proceedings of the 2nd IEEE Mediterranean Conference on “New Directions of Control Theory and Applications”, 19-22 June 1994, Crete, Greece.

A.I.G. VARDULAKIS
Model Transformation and Equivalence,
European Robust and Adaptive Control Network, Young Researchers week, 18 Aug. - 2 Sept. 1994, University of Dublin, Trinity College.

20. N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the solution of ARMA-Representations.,
Proceedings of the 3rd IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, pp.156-163, July 11-13, 1995, Cyprus.

21. N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the Reduction of a Polynomial Matrix Model of a Linear Multivariable System to Generalized State Space Form,
Proceedings of EURACO Workshop (European Robust and Adaptive Control Network), Recent Results in Robust and Adaptive Control, 11th-14th September 1995, Dipartimento di Sistemi e Informatica, Universita di Firenzw, Italy

22. A.I.G. VARDULAKIS
Polynomial structure of Generalised systems,
Symposium on Automation and Control, Automation and Robotics Research Institute, University of Texas at Arlington, 11 Dec.. 1995.

23. N.P. KARAMBETAKIS A.C. PUGH and A.I.G. VARDULAKIS
On the fundamental equivalence of non-regular AR-representations
to appear in the EURACO Workshop in Portugal. (1996).

24. P.TZEKIS, N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
Solving rational matrix diophantine equations via MAPLE,
Submitted to the 4rth IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, Chania, Crete, Greece.

25. P.TZEKIS, N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
On the division of polynomial matrices.,
Submitted to the 4rth IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, Chania, Crete, Greece.

26. S. MAHMOOD, N.P. KARAMBETAKIS and A.I.G. VARDULAKIS
Structural properties of PMDs,
Submitted to 4rth IEEE Mediterranean Symposium on New Directions in Control Theory and Applications, Chania, Crete, Greece.