Publications

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Journal Article
Bartosiewicz, Z., J. Belikov, Ü. Kotta, M. Tõnso, and M. Wyrwas, "On the transformation of nonlinear discrete-time input-output system to the strong row-reduced form", Proceedings of the Estonian Academy of Sciences, vol. 65, pp. 220–236, 2016.
Belikov, J., Ü. Kotta, and A. Leibak, "Transfer matrix and its Jacobson form for nonlinear control systems on time scales: CAS implementation", AT&P journal PLUS, vol. 2, pp. 6–13, 2011.
Belikov, J., Ü. Kotta, and M. Tõnso, "State-space realization of nonlinear control systems: Unification and extension via pseudo-linear algebra", Kybernetika, vol. 48, no. 6, pp. 1100–1113, 2012.
Nurges, Ü., I. Artemchuk, and J. Belikov, "On stable cones of polynomials via reduced Routh parameters", Kybernetika, vol. 52, pp. 461–477, 2016.
Psychalinos, C., A. S. Elwakil, A. Allagui, and A. Tepljakov, "Special issue on recent advances in the design and applications of fractional-order circuits and systems", AEU International Journal of Electronics and Communications, vol. 81: Elsevier {BV}, pp. 132–135, nov, 2017.
Belikov, J., Ü. Kotta, and M. Tõnso, "Realization of nonlinear MIMO system on homogeneous time scales", European Journal of Control, vol. 23, pp. 48–54, 2015.
Belikov, J., and E. Petlenkov, "NN-SANARX model based control of a multi tank liquid-level systems", International Journal of Computational Intelligence Systems, vol. 8, no. 2, pp. 265–277, 2015.
Levron, Y., and J. Belikov, "Modeling power networks using dynamic phasors in the dq0 reference frame", Electric Power Systems Research, vol. 144: Elsevier {BV}, pp. 233–242, mar, 2017.
Belikov, J., P. Kotta, Ü. Kotta, and A. S. I. Zinober, "Minimal realization of bilinear and quadratic input-output difference equations in state-space form", International Journal of Control, vol. 84, no. 12, pp. 2024–2034, 2011.
Tepljakov, A., E. A. Gonzalez, E. Petlenkov, J. Belikov, C. A. Monje, and I. Petráš, "Incorporation of fractional-order dynamics into an existing PI/PID DC motor control loop", ISA Transactions, vol. 60, pp. 262–273, 2016.
Belikov, J., A. Kaldmäe, and Ü. Kotta, "Global linearization approach to nonlinear control systems: a brief tutorial overview", Proceedings of the Estonian Academy of Sciences, vol. 66, no. 3: Estonian Academy Publishers, pp. 243, 2017.
Tepljakov, A., E. Petlenkov, and J. Belikov, "Fractional-order digital filter approximation method for embedded control applications", International Journal of Microelectronics and Computer Science, vol. 5, no. 2, pp. 54–60, 2014.
Tepljakov, A., E. Petlenkov, and J. Belikov, "FOMCON: a MATLAB toolbox for fractional-order system identification and control", International Journal of Microelectronics and Computer Science, vol. 2, no. 2, pp. 51–62, 2011.
Baimel, D., J. Belikov, J. M. Guerrero, and Y. Levron, "Dynamic Modeling of Networks, Microgrids, and Renewable Sources in the dq0 Reference Frame: A Survey", IEEE Access, vol. 5: Institute of Electrical and Electronics Engineers ({IEEE}), pp. 21323–21335, 2017.
Tepljakov, A., E. Petlenkov, E. Gonzalez, and J. Belikov, "Digital Realization of Retuning Fractional-Order Controllers for an Existing Closed-Loop Control System", Journal of Circuits, Systems and Computers, vol. 26, no. 10: World Scientific Pub Co Pte Lt, pp. 1750165, oct, 2017.
Belikov, J., Ü. Kotta, and M. Tõnso, "Comparison of LPV and nonlinear system theory: a realization problem", Systems & Control Letters, vol. 64, pp. 72–78, 2014.
Tepljakov, A., E. Petlenkov, and J. Belikov, "Application of Newton's method to analog and digital realization of fractional-order controllers", International Journal of Microelectronics and Computer Science, vol. 3, no. 2, pp. 45–52, 2013.
Belikov, J., Ü. Kotta, and A. Tepljakov, "Algebraic approach for analysis and control of a water tank system", Information Technology And Control, vol. 45, pp. 175–183, 2016.
Belikov, J., Ü. Kotta, and M. Tõnso, "Adjoint polynomial formulas for nonlinear state-space realization", IEEE Transactions on Automatic Control, vol. 59, no. 1, pp. 256–261, 2014.
Conference Paper
Belikov, J., Ü. Kotta, and A. Leibak, "Transfer matrix and its Jacobson form for nonlinear systems on time scales: Mathematica implementation", The 18th International Conference on Process Control, Tatranská Lomnica, Slovak Republic, pp. 141–146, June, 2011.
Vansovits, V., A. Tepljakov, K. Vassiljeva, and E. Petlenkov, "Towards an Intelligent Control System for District Heating Plants: Design and Implementation of a Fuzzy Logic based Control Loop", IEEE International Conference on Industrial Informatics (INDIN'2016), 2016.
Alagoz, B. Baykant, A. Tepljakov, E. Petlenkov, and C. Yeroglu, "A theoretical investigation on consideration of initial conditions in fractional-order transfer function modeling", 2017 40th International Conference on Telecommunications and Signal Processing (TSP): IEEE, jul, 2017.
Kotta, Ü., M. Tõnso, J. Belikov, A. Kaldmäe, V. Kaparin, Y.. A. Shumsky, and A. N. Zhirabok, "A symbolic software package for nonlinear control systems", The 19th International Conference on Process Control, {\v S}trbské Pleso, High Tatras, Slovak Republic, pp. 101–106, June, 2013.
Belikov, J., Ü. Kotta, and M. Tõnso, "Symbolic polynomial tools for nonlinear control systems", The 7th Vienna International Conference on Mathematical Modelling, Vienna, Austria, pp. 1–6, February, 2012.
Nõmm, S., K. Vassiljeva, E. Petlenkov, and J. Belikov, "Structure identification of NN-ANARX model by genetic algorithm with combined cross-correlation-test based evaluation function", The 9th International Conference on Control and Automation, Santiago, Chile, pp. 65–70, December, 2011.

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