List of publications

Book:
  1. Petras, I., Podlubny, I., O'Leary, P., Dorcak, L., Vinagre, B.M.: Analogue Realizations of Fractional Order Controllers, Faculty BERG, TU Kosice, 2002, p. 84, ISBN 80-7099-627-7.
Book Chapter:
  1. Petras, I., Chen, Y.Q., Vinagre, B.M.: Robust stability test for interval fractional order linear systems, In: V. Blondel and A. Megretski Eds. Sixty open problems in the mathematics of systems and control, Princeton University Press, 2003. (in press, to appear in Fall 2003)
Textbooks:
  1. Petras, I.: Theory of Automatic Control - (guide for exercises), TU Kosice, Elfa s.r.o., Kosice, 2001, p.52, ISBN 80-88964-92-X.
  2. Horovcak, P., Petras, I. : Programming language C - (exercises and solved examples), F BERG TU Kosice, 2002, ISBN 80 -7099-760-5.
Papers in Refereed Scientific Journals:
  1. Petras, I., Dorcak, L., Kostial, I.: Methods for application of fractional - order controllers, AT&P Journal, vol. 4, 1998, Bratislava, pp. 59 - 60, (in Slovak).
  2. Petras, I., Dorcak, L., Kostial, I.: Control quality enhancement by fractional-order controllers, Acta Montanistica Slovaca, vol. 2, 1998, Kosice, pp. 143 - 148.
  3. Petras, I., Dorcak, L., Kostial, I.: Modelling of fractional - order control circuit, EnvirAutom (journal), vol. 3, no. 1 - 2, 1998, Kosice, pp. 68 - 71, (in Slovak).
  4. Petras, I., Dorcak, L.: Some posibilities for realization of fractional order controller, EnvirAutom (journal), vol. 4, no.1, 1999, pp. 83 - 90, (in Slovak).
  5. Petras, I.: The fractional - order controllers: Methods for their synthesis and application, J. Electrical Engineering, vol. 50, no. 9 - 10, 1999, Bratislava, pp. 284 - 288.
  6. Petras, I., Dorcak, L.: The frequency method for stability investigation of fractional control systems, SACTA journal, vol. 2, no. 1 - 2, 1999, Link Hills, S. Africa, pp. 75 - 85.
  7. Petras, I., Dorcak, L.: Parameters design methods for fractional order controllers, EnvirAutom (journal), vol. 5, no. 1, 2000, Kosice, pp. 32 - 41, (in Slovak).
  8. Terpak, J., Dorcak, L., Petras, I., Kostial, I.: Monitoring and predicting model of blast furnace process, EnvirAutom (journal), vol. 5, no. 2, 2000, Kosice, pp. 140 - 145, (in Slovak).
  9. Kostial, I., Nemcovsky, P., Dorcak, L., Terpak, J., Petras, I., Rogal, M., Halmo, M.: Real time blast furnace modelling. Metallurgy, vol. 40, no. 3, 2001, pp. 147-150.
  10. Terpak, J., Dorcak, L., Kostial, I., Petras, I.: Three-dimensional model of blast furnace process, AT&P Journal, vol. 8, 2001, Bratislava, pp. 50 - 51, (in Slovak).
  11. Podlubny, I., Petras, I., Vinagre, B.M., O'Leary, P., Dorcak, L.: Analogue Realization of Fractional-Order Controllers, Nonlinear Dynamics, International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Kluwer Academic Publishers, Guest Editor: Prof. J. Tenreiro Machado), vol. 29, no. 1 - 4, July - September, 2002, pp. 281-296.
  12. Vinagre, B. M, Petras, I., Podlubny, I., Chen, Y.Q.: Using Fractional Order Adjustment Rules and Fractional Order Reference Models in Model-Reference Adaptive Control, Nonlinear Dynamics, International Journal of Nonlinear Dynamics and Chaos in Engineering Systems, Kluwer Academic Publishers, Guest Editor: Prof. J. Tenreiro Machado), vol. 29, no. 1 - 4, July - September, 2002, pp. 269-279.
  13. Petras, I., Vinagre, B. M.: Practical application of digital fractional-order controller to temperature control,Acta Montanistica Slovaca, F BERG TU  Kosice, (accepted for publication in May 2001), to appear in 2003.
  14. Petras, I., Horovcak, P., Terpak, J.: Control of DC motor speed with using of fractional order controllers, EnvirAutom (journal), vol. 6, no. 1, 2001, Kosice, pp. 135 - 141, (in Slovak).
  15. Petras, I., Hypiusova, M.: Design of fractional - order controllers via H_inf norm minimisation, Selected Topics in Modelling and Control, vol. 3, December 2002, Edited by J. Mikles and V. Vesely, Slovak University of Technology Press Bratislava, ISBN 80-227-1815-7, pp. 50-54.
  16. Petras, I.: Control of fractional-order Chua's system, J. Electrical Engineering, vol. 53, no. 7-8, 2002, pp. 219 - 222.
Contributions in International Scientific Conference Proceedings:
  1. Petras, I., Hypiusova, M.: Design of fractional - order controllers via H_inf norm minimisation, In: Proceedings of the IFAC conference, Control Systems Design, June 18 - 20, 2000, Bratislava, Slovak Republic, pp. 454 - 457, ISBN 0-08-043546-7.
  2. Kostial, I., Nemcovsky, P., Rogal, M., Terpak, J., Dorcak, L., Petras, I .: Blast furnace process control, In: Proceedings of the IFAC Workshop, Future trends in Autom. in Mineral and Metal Processing, August 22 - 24, 2000, Finland, pp. 249 - 254, ISBN 0-08-043622-6.
  3. Petras, I., Grega, S.: Digital fractional-order controllers: A possible hardware realization, In: Proceedings of the ICCC'2001, May 22 - 25, Krynica, Poland, pp. 217 - 222, ISBN 83-91340-07-4.
  4. Petras, I., Podlubny, I., O'Leary P., Dorcak, L.: Analogue fractional-order controllers: Realization, tuning and implementation, In: Proceedings of the ICCC'2001, May 22 - 25, Krynica, Poland, pp. 9 - 14, ISBN 83-91340-07-4.
  5. Dorcak, L., Petras, I., Kostial, I., Terpak, J.: State-space controller desing for the fractional-order regulated system, In: Proceedings of the ICCC'2001, May 22 - 25, Krynica, Poland, pp. 15 - 20, ISBN 83-91340-07-4.
  6. Vinagre, B. M., Petras, I., Merchan P., Dorcak, L.: Two digital realizations of fractional controllers: Application to temperature control of a solid. In: Proceedings of the the ECC'2001, September 4-7, Seminario de Vilar, Porto, Portugal, pp.1764 - 1767.
  7. Petras, I., Dorcak, L., Terpak, J., Kostial, I.: Fractional-order control systems, In: Proceedings of the 3rd DAAAM Workshop "Intelligent Manufacturing Systems", 29th November 2001, pp. 61-62.
  8. Vinagre, B.M., Petras, I., Podlubny, I., Chen, Y.Q.: Stability of fractional-order model reference adaptive control, In: Proc. of the MTNS'2002 (Open problems book), August 12 - 16, 2002, Notre Dame, USA, pp.118 - 121.
  9. Petras, I., Chen, Y.Q, Vinagre, B.M.: Robust stability test for interval fractional order linear system, In: Proc of the MTNS'2002 (Open problems book), August 12 - 16, 2002, Notre Dame, USA, pp.115 -117.
Contributions in National Scientific Conference Proceedings (Slovakia and Czech Republic):
  1. Petras, I., Dorcak, L., Kostial, I.: Design of fractional - order controllers with given stability and dumping measures, In: Proceedings of the 9th International BERG Conference, Kosice, Slovak Republic, September 2 -5, 1997, pp. 116 - 119, ISBN 80-88896-08-8, (in Slovak).
  2. Petras, I., Dorcak, L., Kostial, I.: Control algorithm for fractional controlled systems, In: Proceedings of the Informatics and Algorithms'98 Conference, Presov, September 3 - 4, 1998, pp. 202 - 206, ISBN 80-967593-8-8, (in Slovak).
  3. Petras, I., Dorcak, L., Kostial, I.: A comparison of the integer and the fractional order controllers on the laboratory object, In: Proceedings of the ICAMC98/ASRTP'98, September 8 - 12, Tatranske Matliare, 1998, pp. 451 - 454, ISBN 80-7099-367-7, (in Slovak).
  4. Dorcak, L., Petras, I., Kostial, I.: Algorithms for calculation of stability and damping measure of the fractional order control systems, In: Proceedings of the ICAMC'98/ASRTP'98, September 8 - 12, Tatranske Matliare, 1998, pp. 243 - 246, ISBN 80-7099-367-7, (in Slovak).
  5. Petras, I., Stremen, M.: Small amount gas flow meter, In: Proceedings of the ICAMC'98/ASRTP'98, September 8 - 12, Tatranske Matliare, 1998, pp. 314 - 317, ISBN 80-7099-367-7, (in Slovak).
  6. Terpak, J., Dorcak, L., Petras, I., Kostial, I., Nemcovsky, P.: Mathematical model of gas convection in the blast furnace bath, In: Proceedings of the ICAMC'98/ASRTP'98, September 8 - 12, Tatranske Matliare, 1998, pp. 251 - 254, ISBN 80-7099-367-7, (in Slovak).
  7. Kostial, I., Nemcovsky, P., Dorcak, L., Terpak, J., Petras, I .: Blast furnace control model, In: Proceedings of the ICAMC'98/ASRTP'98, September 8 - 12, Tatranske Matliare, 1998, pp. 501 - 504, ISBN 80-7099-367-7, (in Slovak).
  8. Petras, I.: The fractional - order controllers: Methods for their synthesis and application, (Proceedings of abstracts), In: SCAM'99, April 24, 1999, Bratislava.
  9. Petras, I., Dorcak, L., Kostial, I., Kostur, K.: Simulation of fractional - order control circuit, In: Proceedings of the MOSIS'99, vol. 2, April 27 - 29, 1999, Roznov pod Radhostem, Czech Republic, pp. 213 - 218, (in Slovak).
  10. Petras, I., Dorcak, L., Kostial, I.: Fractional - order methods in control theory, In: Proceedings of the Process Control' 99 conference, May 31 - June 3, 1999, Tatranske Matliare, pp. 6 - 10, ISBN 80-227-1228-0, (in Slovak).
  11. Petras, I., Dorcak, L.: Frequency characteristics of control system with fractional order delay, In: Proceedings of the Informatics and Algorithms'99 Conference, Presov, September 9 - 10, 1999, pp.164 - 167, ISBN 80-88941-05-9, (in Slovak).
  12. Petras, I., Dorcak, L., Kostial, I.: The modelling and analysis of fractional-order control systems in discrete domain, In: Proceedings of the ICCC'2000, May 23 - 26, 2000, High Tatras, Slovak Republic, pp. 257 - 260, ISBN 80-7099-510-6.
  13. Petras, I., Dorcak, L., O'Leary, P., Vinagre, B. M., Podlubny, I.: The modelling and analysis of fractional-order control systems in frequency domain, In: Proceedings of the ICCC'2000, May 23 - 26, High Tatras, Slovak Republic, pp. 261 - 264, ISBN 80-7099-510-6.
  14. Dorcak, L., Petras, I., Kostial, I.: The modelling and analysis of fractional-order regulated systems in the state space, In: Proceedings of the ICCC'2000, May 23 - 26, 2000, High Tatras, Slovak Republic, pp. 185 - 188.
  15. Petras, I.: Feedback control of chaotic fractional-order Chua's system, In: Proceedings of the ICCC'2000, May 23 - 26, 2000, High Tatras, Slovak Republic, pp. 471 - 474, ISBN 80-7099-510-6.
  16. Petras, I., Dorcak, L.: Modelling and simulation of discrete fractional order control systems, In: Proceedings of the Informatics and Algorithms'2000 Conference, Presov, September 7- 8, 2000, pp.152 - 155, ISBN 80-88941-13-X, (in Slovak).
  17. Petras, I., Chen, Y.Q., Vinagre, B. M.: A Robust Stability Test Procedure for A Class of Uncertain LTI Fractional-Order Systems, In: Proceedings of the ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 247 - 252, ISBN 80-248-0089-6.
  18. Petras, I., Vinagre, B. M., Dorcak, L., Feliu, V.: Fractional Digital Control of a Heat Solid: Experimental Results, In: Proceedings of the ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 365 - 370, ISBN 80-248-0089-6.
  19. Terpak, J., Dorcak, L., Kostial, I., Petras, I.: Mathematical model of the theoretical temperature of the blast furnace, In: Proceedings of the ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 167 - 172, ISBN 80-248-0089-6.
  20. Dorcak, L., Petras, I., Kostial, I., Terpak, J.: Fractional-order state space models, In: Proceedings of the ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 193 - 198, ISBN 80-248-0089-6.
  21. Dorcak, L., Terpak, J., Kostial, I., Petras, I.: Control of speed of turboexhausters for aglomeration belt, In: Proceedings of the ICCC'2002, Malenovice, Czech Republic, May 27 - 30, 2002, pp. 335 - 340, ISBN 80-248-0089-6.
  22. Dorcak, L., Petras, I., Terpak, J.: Algorithms for solving of fractional-order models in state space, In: Proceedings of the Informatics and Algorithms'2002 Conference, Presov, September 12 - 13, 2002, pp. 124 - 129, ISBN 80-88941-21-0, (in Slovak).
  23. Terpak, J., Dorcak, L., Petras, I.: Algorithms for exhausting control of sintering belt, In: Proceedings of the Informatics and Algorithms'2002 Conference, Presov, September 12 - 13, 2002, pp. 252 - 256, ISBN 80-88941-21-0, (in Slovak).
  24. Petras, I., Grega, S., Dorcak, L.: Digital Fractional Order Controllers Realized by PIC Microprocessor: Experimental Results. In: Proceedings of the ICCC'2003 conference, High Tatras, May 26-29, 2003, pp. 873 - 876.
  25. Dorcak, L., Petras, I., Terpak, J., Zborovjan, M.: Comparison of the methods of discrete approximation of the fractional - order operator. In: Proceedings of the ICCC'2003 conference, High Tatras, May 26-29, 2003, pp. 851 - 856.
  26. Podlubny, I., Petras, I., Vinagre B. M., Chen, Y.Q., O'Leary, P., Dorcak. L.: Realization of fractional order controllers, In: Proceedings of the ICCC'2003 conference, High Tatras, May 26-29, 2003, pp. 877 - 880.
Theses:
  1. Petras, I.: Fractional Calculus in Control, PhD. Thesis, Department of Informatics and Process Control, Faculty BERG, Technical University of Kosice, (submited: November 1999; graduation: March 2000).
  2. Petras, I.: Fractional Order Controllers Parameters Design, MSc. Diploma work, Department of Management and Control Engineering, Faculty BERG, Technical University of Kosice, (submited: May 1997; state examintions: June 1997.
Web Electronic Publications:
  1. Petras, I.: Fractional-Order Control Systems: Theory and Applications, Lecture Notes (slides), Invited lecture at Institute of Automation in Leoben, Austria, May 2002, p. 111.
  2. Chen, Y.Q., Petras, I., Vinagre, B.: A list of Laplace and inverse Laplace transforms related to fractional order calculus, Nov. 2001, PDF file.
  3. Petras, I.: Fractional calculus, e-article, 2000 - 2003.
  4. Petras, I.: Fractional calculus in control theory, e-article, 2000 - 2003.
  5. Terpak, J., Dorcak, L., Kostial, I., Petras, I.: Mathematical model of a blast furnace, e-article, 2000 - 2003.
  6. Petras, I.: Chaos theory, e-article, 2000 - 2003.
Preprints:
  1. Vinagre, B. M, Chen, Y.Q., Petras, I.: Two Direct Tustin Discretization Methods for Fractional-Order Differentiator/Integrator, Preprint for Journal of The Franklin Institute, (submitted: Jan. 17, 2003; status: under review).
  2. Petras, I., Chen, Y.Q., Vinagre, B. M, Podlubny, I.: Stability of Linear Time Invariant Systems with Interval Fractional Orders and Interval Coefficients, Preprint for IEEE CDC 2003 conference, (submitted: March, 2003; status: under review).
  3. Petras, I., Dorcak. L.: Fractional-Order Control Systems: Modelling and Simulation, Preprint for journal of FCAA, (status: accepted for publication, to appear in Fall 2003).
Project Reports:
  1. Grant project VEGA from Slovak Grant Agency for Science: Methods, Algorithms and Means for Mathematical Modelling, Analysis and Synthesis of Control Systems of Technological Objects and Processes: #1/4333/97; # 1/7098/20.
  2. Grant (bilateral) project from Austrian Institute for Central and Eastern Europe: Fractional - Order Dynamical Systems and Controllers: Discrete and Frequency-Domain Mathematical Models and Algorithms.
  3. Grant project VEGA from Slovak Grant Agency for Science: Development of Mathematical Models for Design of Effective Technologies and Control of Raw Material Processing: #1/7099/20.
  4. Solution report of scientific - technical project: #3002.
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Last updated: May 31, 2003.

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