Prof. Victor Lehenkyi

Area of Expertise:
Flight Dynamics
Optimal & Terminal Control
Symmetry Analysis of Differential Equations
Parametric Analysis of Dynamical Systems

 Academic Background:
D.Sc. in Eng.: 1996, Institute of Airforce, Kyiv
Ph.D. in Eng.: 1987, Institute of Airforce, Kyiv
M.Sc. in Math.: 1992, Kyiv State University (Supervisor Prof. W.I. Fushchych)
M.Sc. in Electrical Eng.: 1981, Institute of Airforce, Kyiv

Awards
1988 - Medal named Nikolay Pilyugin (Federation of Cosmonaut's of Soviet Union).

Referee
Mathematical and Computer Modelling

Scientific Visits
Lehrstuhl fur Systemtheorie und Regelungstechnik, Saarland University (Saarbrucken, Germany, 2011)
Institut des Hautes Etudes Scientifigues (IHES) (Bures-Sur-Yvette, France, 2002)
Institut fur Regelungs- und Steuerungstheorie, Technische Universitat Dresden (Dresden, Germany, 2000, 2003)
Control Systems Department at the Institute of Cybernetics at TUT (Tallinn, Estonia, 1999)

Selected Publications

*** Lehenkyi, Victor = Legen'kii, V.I.

1. Lehenkyi V. and Rudolph J., Derived Type and Symmetry Analysis of One Input Third Order Control Systems, Proc. of the 2-d Workshop dedicated to the memory of W. Fushchych, Poltava, (2012), 24-29 (in Ukrainian). [pdf].
2. Lehenkyi V. and Rudolph J., Group Properties of Third Order Control Systems, Math. Mach. and Sys. 4 (2011), 116-124 (in Ukrainian).
3. Lehenkyi V.I., Optimal control of angular orientation of aircrafts, Proceedings of the Sixth International Aerospace Congress IAC09 (Plenary and selected papers), August, 23–27, 2009, Moscow, Russia, (2010), 251–261 [pdf].
4. Tchoh Yu., Lehenkyi V. Practical implementation of complex examining-calaclation method in the processes of diagnostic of the complex dynamic objects of aircrafts, Math. Mach. and Sys. 1 (2010), 162-170 (in Russian).
5. Ochkov V.F., Lehenkyi V.I., Minaeva E.A., Physical Quantities, Dimensions And Units of Measurement in Mathematical Packages, Math. Mach. and Sys. 1 (2009), 78-90.
6. Lehenkyi V.I., On the foliation of algebraic equations, In book: Simmetries of Differential Equations, Moscow Institute of Physics and Technology (2008), 121–131 (in Russian) [pdf].
7. Lehenkyi V., Yakovenko G. Dimensionless variables: group-theoretic approach. In book: Simmetries of Differential Equations, Moscow Institute of Physics and Technology (2008), 132–142 (in Russian) [pdf].
8. Lehenkyi V.I., On minimal parametric models in flight dymamics, Proceedings of the Fifth International Aerospace Congress IAC'06, August, 27–31, 2006, Moscow, Russia, 0320702706 (2007), 223–226 [pdf].
9. Lehenkyi V.I., Pi-theorem in the problem of parametric reduction of dynamical systems, - In book: Symmetry and Integrability of Equations of Mathematical Physics, – Kiev, Institute of Mathematics, (2006), 187–196 [pdf].
10. Lehenkyi V. and Rudolph J., On a characteristic vector field for systems reducible to order two, Prepr. "16th IFAC World Congress, Prague, Czech Republic, July 3-8, CDROM, 2005, 6 p. [pdf].
11. Lehenkyi V. and Rudolph J., Towards the Group Classification of Control Systems, Proceedings of the 5-th International conference ”Symmetry in Nonlinear Mathematical Physics”, Institute of Mathematics of the National Academy of Sciences of the Ukraine, Kiev, v. 50, i. 1, 2004, 170-175.
12. Lehenkyi V., Theoretic-Group Criterion for Reduction of the Equation G(t, x, x',...) + \epsilon F (t,x,x',...) = 0 to the Form G(\hat t, \hat x, \hat x',...) = 0, J. Automation and Information Sciences v.36, i.4, 2004, 18-25. [pdf].
13. Lehenkyi V., On the Design of Control Systems with Invariant Representation of Desired Trajectory, Mathematical Machines and Systems, 1, 2004, 115-121 (in Russian). [pdf].
14. Lehenkyi V. and Rudolph J., A characteristic prolongation for second order control systems, Institut des Hautes Etudes Scientifigues (IHES, France), Preprint/M/03/54, 2003, 6 p.
15. Lehenkyi V., Rudolph J., On symmetries of ”Nonholonomic Car” motion equations, Cybernetics and Computer Engineering v. 136, 2000, 74-76 (in Russian). [pdf].
16. Lehenkyi V., Rudolph J., Group classification of second order conrtol systems,, Proceedings of the Institute of Mathematics of the National Academy of Sciences of the Ukraine), Kiev, v. 36, 2001, 167-176 (in Russian). [pdf].
17. Lehenkyi V., The integrability of some underdetermined systems, Proceedings of the 3-d International Conference "Symmetry in nonlinear mathematical physics", v. 30, i. 1, 2000, 157-164.
18. Lehenkyi V., Point Symmetries of Controlled Systems and Their Applications, Journal of Nonlinear Mathematical Physics, v. 4, i. 1-2, 1997, 168-172.
19. Lehenkyi V., On the Problem of Minimum of the Maximal Speed of a Diving Airplane, Journal of Automation and Information Sciences, v. 29, i. 2-3, 1997, 30-35.
20. Lehenkyi V., Minimally parametric form of the equations of motion of aircraft, International Applied Mechanics, v. 31, i. 10, 1995, 852-858. [pdf].
21. Lehenkyi V., Point symmetries and controllability of dynamical systems, Proceedings of the National Academy of Sciences of Ukraine, 3, 1995, 15-17 (in Russian). [pdf].
22. Lehenkyi V., Applying Lie groups to the solution of problems in program control of airplane flight, Avtomatika, 6, 1992, 26-33 (in Russian). [pdf].
23. Lehenkyi V., Symmetries and the reduction problem in the design of optimal systems, Kibernet. i Vychisl. Tekhn., 95, 1992, 12-18 (in Russian). [pdf].