Alexander L. Zuyev

Position, Degree: Corresponding Member of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences, Professor

Position: Head of the Department of Applied Mechanics

E-mail: alexander.zuyev@gmail.com, web: http://zuyev.science

Research Fields: mathematical control theory, stability theory, qualitative theory of differential equations, mathematical problems of mechanics and chemical Engineering

Personal profiles:

 

1997 –  Diploma with distinction in Mathematics from Donetsk National University;

1994 1997 – Student Employee, Software Engineer (part time), “Recon” company, Donetsk;

19972000  – Postgraduate Student at the Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine;

2000 Candidate of Sciences. Thesis on Stabilization and stability of nonlinear dynamical systems with application to problems of rigid bodies mechanics;

2008 –  Doctor of Sciences (Dr. habil.). Thesis on Motion control and stabilization of infinite dimensional mechanical systems with elastic elements.

2000 2002 –  Junior Research Fellow, Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine;

Lecturer (20002001) and Docent (20012002, part time), Dept. of Mathematics & Information Science, Donetsk State University of Management.

Donetsk National University: 

20052008  – Docent

20082014  – Professor

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine

20022005 – Research Associate

20052008 – Senior Research Fellow

20092014 – Leading Researcher

2014– present Head of the Department of Applied Mechanics 

2003 – Visiting Scientist at the Abdus Salam International Centre for Theoretical Physics, Trieste, Italy;

2004–  Alexander von Humboldt Research Fellow, TU Ilmenau, Germany; 

2010 and 2014 –  Alexander von Humboldt Research Fellow (Alumni Program), University of Stuttgart, Germany.

2025Award of the National Academy of Sciences of Ukraine“For Scientific Achievements”

2023Award of the National Academy of Sciences of Ukraine “For Preparing the Next Generation of Scientists,” presented on the occasion of International Mathematics Day for fruitful scientific and pedagogical work, personal contribution to the development of mathematical science and education, and active promotion of mathematical knowledge.

2018Commemorative Award from the Presidium of the National Academy of Sciences of Ukraine in honor of the 100th anniversary of the National Academy of Sciences of Ukraine

2010Named Scholarship from the Verkhovna Rada of Ukraine for the most talented young scientists

2010Award of the Cabinet of Ministers of Ukraine for outstanding achievements by young people in the development of Ukraine

2009Named scholarship from the Verkhovna Rada of Ukraine for the most talented young scientists

2008State Prize of Ukraine in Science and Technology

2006Award of the President of Ukraine for Young Scientists

2004Humboldt Foundation Scholarship

2002P. V. Kharlamov Award at the Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

20012002Scholarship from the National Academy of Sciences of Ukraine for Young Scientists

2001Certificate of Merit from IFAC(International Federation of Automatic Control)

2001Diploma from the National Academy of Sciences for Young Scientists

2001Certificate of Merit from the National Academy of Sciences of Ukraine for the best scientific work by young scientists

Monographs

G.M. Sklyar, A.L. Zuyev (eds).
Stabilization of Distributed Parameter Systems: Design Methods and Applications (SEMA SIMAI Springer Series). Springer. 2021.
https://doi.org/10.1007/978-3-030-61742-4

Zuyev A.
Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements (Lecture Notes in Control and Information Sciences, 458). Springer. 2015.

https://doi.org/10.1007/978-3-319-11532-0

Zuev, A.L., Ignatyev, A.O., Kovalev, A.M.
Stability and Stabilization of Nonlinear Systems. Naukova Dumka.
 2013.

https://www.nas.gov.ua/UA/Book/Pages/default.aspx?BookID=0000007787

Articles

 Y. Yevgenieva, A. Zuyev, P. Benner 
Stability and decay rate estimates for a nonlinear dispersed flow reactor model with boundary control. 2025 European Control Conference (ECC), Thessaloniki, Greece. – 2025. – P. 1672-1677. DOI: 10.23919/ECC65951.2025.11187013

A. Zuyev, P. Benner 
Iterative Approximations of Periodic Trajectories for Nonlinear Systems With Discontinuous Inputs. IEEE Control Systems Letters. – 2025. – Vol. 9. – P. 985-990.  DOI:10.1109/LCSYS.2025.3579409

J. Kalosha, Y. Yevgenieva, A. Zuyev 
Partial stabilization of an orbital satellite model with flexible attachment. Journal of Mathematical Sciences. – 2025. – Vol. 291, No. 6. – P. 1016‑1024. DOI:10.1007/s10958-025-07875-1

A. L. Zuyev, L. Feng, P. Benner 
Estimates of the Kolmogorov n-width for nonlinear transformations with application to distributed-parameter control systems // IEEE Control Systems Letters. – 2024. – V. 8. – P. 1877-1882. DOI: 10.1109/LCSYS.2024.3418314

V. Grushkovskaya, A. L. Zuyev 
Design of stabilizing feedback controllers for high-order nonholonomic systems // IEEE Control Systems Letters. – 2024. – V. 8. – P. 988-993. DOI:  10.1109/LCSYS.2024.3406931

Y. Yevgenieva, A. L. Zuyev, P. Benner, A. Seidel-Morgenstern 
Periodic optimal control of a plug flow reactor model with an isoperimetric constraint // Journal of Optimization Theory and Applications. – 2024. – V. 202, Is. 2. – P. 582-604. DOI:  10.1007/s10957-024-02439-w

A. L. Zuyev, V. Grushkovskaya 
Stabilization of a nonholonomic car model with off-hooked trailers // 2024 32nd Mediterranean Conference on Control and Automation (MED). – IEEE, 2024. – P. 364-369. DOI: 10.1109/MED61351.2024.10566256

V. Grushkovska, I. Vasylieva, A. L. Zuyev 
Partial stabilization of nonlinear systems along a given trajectory // 2024 European Control Conference (ECC). – IEEE, 2024. – P. 1954-1959. DOI:  10.23919/ECC64448.2024.10590790

A. L. Zuyev, F. Pellicano, A. Zippo, G. Iarriccio 
Dynamic Modelling of a Controlled Orthotropic Plate: Analytic and Data-Driven Approaches in the Frequency Domain //ASME International Mechanical Engineering Congress and Exposition. – American Society of Mechanical Engineers. – 2024. – V. 5. – Art. no. V005T07A052. DOI: 10.1115/IMECE2024-145739

Y. Yevgenieva, A. L. Zuyev, J. Kalosha 
On the Controllability of an Orbiting Satellite Model with Electromagnetic-only Actuation // Праці Інституту прикладної математики і механіки НАН України. – 2024. – Т. 38(1). – С. 54-62. DOI: 10.37069/1683-4720-2024-38-6

Yu.N. Kononov, V.F. Shcherbak, A.L. Zuyev 
Founder of the Donetsk school of mechanics: On the 100th anniversary of Pavel Kharlamov’s birth // Праці Інституту прикладної математики і механіки НАН України. – 2024. – Т.38(1). – С. 3-10. DOI:  10.37069/1683-4720-2024-38-1

O. L. Zuev, Yu. M. Kononov, V. F. Shcherbak
Pavel Vasilyevich Kharlamov—Founder of the Donetsk School of Mechanics: On the 100th Anniversary of His Birth // Bulletin of the National Academy of Sciences of Ukraine. – 2024. – №. 6. – С. 96-101. DOI: 10.15407/visn2024.06.096

V. Grushkovskaya, A. L. Zuyev 
Motion planning and stabilization of nonholonomic systems using gradient flow approximations // Nonlinear Dynamics. – 2023. – V. 111, Is. 23. – P. 21647-21671. DOI: 10.1007/s11071-023-08908-7

P. Benner, S. Chuiko, A. L. Zuyev 
A periodic boundary value problem with switchings under nonlinear perturbations // Boundary Value Problems. – 2023. – V. 2023, Is. 1. – Art. no. 50. DOI:  10.1186/s13661-023-01734-1

A. L. Zuyev, I. V. Gosea 
Approximating a flexible beam model in the Loewner framework // 2023 European Control Conference (ECC). – IEEE, 2023. – P. 1-7. DOI:  10.23919/ECC57647.2023.10178203

A. L. Zuyev, J. Kalosha 
A Dynamic Observer for a Class of Infinite-Dimensional Vibrating Flexible Structures // 2023 European Control Conference (ECC). – 2023. – P. 1-6. DOI: 10.23919/ECC57647.2023.10178223

R. Misra, R. Wisniewski, A. L. Zuyev
Attitude stabilization of a satellite having only electromagnetic actuation using oscillating controls // Aerospace. – 2022. – V. 9, Is. 8. – Art. no. 444. DOI: 10.3390/aerospace9080444

J. I. Kalosha, A. L. Zuyev 
Asymptotic stabilization of a flexible beam with attached mass // Ukrainian Mathematical Journal. – 2022. – V. 73, Is. 10. – P. 1537-1550. DOI: 10.1007/s11253-022-02012-6

A. L. Zuyev, P. Benner
Stabilization of crystallization models governed by hyperbolic systems // SEMA SIMAI Springer Series. – 2021. – V. 2. – P. 123-135. DOI:  10.1007/978-3-030-61742-4_8

J. I.  Kalosha, A. L. Zuyev, P. Benner
On the eigenvalue distribution for a beam with attached masses // SEMA SIMAI Springer Series. – 2021. – V. 2. – P. 43-56. DOI:  10.1007/978-3-030-61742-4_3

P. Benner, A. Seidel-Morgenstern, A. L. Zuyev 
Analysis of switching strategies for the optimization of periodic chemical reactions with controlled flow-rate // Springer Proceedings in Mathematics and Statistics. – 2021. – V. 364. – P. 59-69. DOI:  10.1007/978-3-030-77314-4_5

A. L. Zuyev, J. Kalosha
Observer design for a flexible structure with distributed and point sensors // Праці Інституту прикладної математики і механіки НАН України. – 2021. – Т. 35(2). – С. 125-136. DOI: 10.37069/1683-4720-2021-35-9

A. L. Zuyev, P. Benner, A. Seidel-Morgenstern 
On the orbital stability of periodic trajectories of a class of discontinuous systems // PAMM. – 2021. – V. 21, Is. 1. – P. e202100222. DOI:  10.1002/pamm.202100222

V. Grushkovskaya, A. L. Zuyev
Extremum seeking approach for nonholonomic systems with multiple time scale dynamics // IFAC-PapersOnLine. – 2020. – V. 53, Is. 2. – P. 5392-5398. DOI: 10.1016/j.ifacol.2020.12.1529

V. Grushkovskaya, A. L. Zuyev
Partial stabilization of nonholonomic systems with application to multi-agent coordination // European Control Conference (ECC). – 2020. – Art. no. 9143613.– P. 1665-1670. DOI: 10.23919/ECC51009.2020.9143613

O. L. Zuev
Mathematical Theory of Control: Nonlinear Dynamics and Engineering Applications // Bulletin of the National Academy of Sciences of Ukraine. – 2020. – №. 1. – С. 29-37. DOI: 10.15407/visn2020.01.029

P. Benner, A. Seidel-Morgenstern, A. L. Zuyev 
Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions // Applied Mathematical Modelling. – 2019. – V. 69. – P. 287-300. DOI: 10.1016/j.apm.2018.12.005

A. L. Zuyev, I. Vasylieva 
Partial stabilization of stochastic systems with application to rotating rigid bodies // IFAC-PapersOnLine. – 2019. – V. 52, Is. 16. – P. 162-167. DOI:  10.1016/j.ifacol.2019.11.772

V. Grushkovskaya, A. L. Zuyev 
Partial stability concept in extremum seeking problems // IFAC-PapersOnLine. – 2019. – V. 52, Is. 16. – P. 682-687. DOI: 10.1016/j.ifacol.2019.12.041

V. Grushkovskaya, A. L. Zuyev 
On exponential stabilization of nonholonomic systems with time-varying drift // IFAC-PapersOnLine. – 2019. – V. 52, Is. 16. – P. 156-161. DOI:  10.1016/j.ifacol.2019.11.771

A. L. Zuyev, V. Grushkovskaya 
On stabilization of nonlinear systems with drift by time-varying feedback laws // 2019 12th International Workshop on Robot Motion and Control (RoMoCo). – IEEE, 2019. – Art. no. 8787353. – P. 9-14. DOI: 10.1109/RoMoCo.2019.8787353

V. Grushkovskaya, A. L. Zuyev
Stabilization of non-admissible curves for a class of nonholonomic systems // 2019 18th European Control Conference (ECC). – IEEE, 2019. – Art. no. 8795948. – P. 656-661. DOI: 10.23919/ECC.2019.8795948

A. L. Zuyev, I. G. Vasylieva
Control design for partial stabilization of nonlinear mechanical systems with random disturbances // Збірник Праць Інституту математики НАН України. – 2019. – Т. 16(2). – С. 209-223.  https://trim.imath.kiev.ua/index.php/trim/article/download/423/414/1295

V. Grushkovskaya, A. L. Zuyev
Stabilization of underactuated nonlinear systems to non‐feasible curves // PAMM. – 2019. – V. 19, Is. 1. – P. e201900160. DOI:  10.1002/pamm.201900160

A. L. Zuyev, J. Novikova 
Modeling and stabilization of a rotating mechanical system with elastic plates // IFAC-PapersOnLine. – 2018. – Vol.51, No.2. – P. 493–498. DOI: 10.1016/j.ifacol.2018.03.083

V.V. Grushkovskaya, A.L. Zuyev, C. Ebenbauer
On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties // Automatica. – 2018. – Vol. 94. – P. 151–160. DOI: 10.1016/j.automatica.2018.04.024

V. Grushkovskaya,  A.L. Zuyev, C. Ebenbauer
On extremum seeking controllers based on the Lie bracket approximation in domains with obstacles // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2018. – Vol. 18, No. 1. DOI: 10.1002/pamm.201800298

A. L. Zuyev, V. Grushkovskaya
Motion planning for control-affine systems satisfying low-order controllability conditions // International Journal of Control. – 2017. – Vol.90, No.11. – P. 2517-2537. DOI: 10.1080/00207179.2016.1257157

A. L. Zuyev, A. Kienle, P. Benner 
Construction of a Lyapunov functional for a class of controlled population balance models // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2017. – Vol. 17, No.1. – P. 827-828. DOI: 10.1002/pamm.201710381

V. Grushkovskaya, A. L. Zuyev
Motion planning problem with obstacle avoidance for step-2 bracket-generating systems // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2017. – Vol. 17, No.1. – P. 799-800. DOI: 10.1002/pamm.201710367

A. L. Zuyev, A. Seidel-Morgenstern, P. Benner 
An isoperimetric optimal control problem for a non-isothermal chemical reactor with periodic inputs // Chemical Engineering Science. – 2017. – Vol. 161. – P. 206-214. DOI: 10.1016/j.ces.2016.12.025

A. L. Zuyev, V. Grushkovskaya
Obstacle avoidance problem for driftless nonlinear systems with oscillating controls // IFAC-PapersOnLine. – 2017. – Vol.50, No.1. – P. 15343–15348. DOI: 10.1016/j.ifacol.2017.08.1093

A. L. Zuyev, V. Grushkovskaya, P. Benner 
Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions // Proc. 2016 European Control Conference (ECC), Aalborg, Denmark. – 2016. – P. 575-580. 

A. L. Zuyev, P. Benner 
Local steering problem for a class of control-affine systems with application to continuous crystallization processes // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2016. – Vol.16, No.1. – P. 831-832. DOI: 10.1002/pamm.201610404

A. L. Zuyev
Exponential stabilization of nonholonomic systems by means of oscillating controls // SIAM Journal on Control and Optimization. – 2016. – Vol. 54. – P. 1678-1696. DOI: 10.1137/140999955

V. Grushkovskaya, A. L. Zuyev
Attractors of nonlinear dynamical systems with a weakly monotone measure // Journal of Mathematical Analysis and Applications. – 2015. – Vol. 422. – P. 559-570. DOI: 10.1016/j.jmaa.2014.08.046

A. L. Zuyev
Reachable sets of quasilinear hyperbolic control systems with applications to separation processes // PAMM – Proceedings in Applied Mathematics and Mechanics. – 2015. – Vol. 15, No. 1. – P. 647-648. DOI:10.1002/pamm.201510313

A. L. Zuyev, Yu. V. Novikova 
Estimation of the reachable set for the problem of vibrating Kirchhoff plate // Ukrainian Mathematical Journal. – 2015. – Vol. 66, No. 11. – P. 1639-1653. DOI: 10.1007/s11253-015-1041-0

A. L. Zuyev, O. Sawodny 
Modelling and control of a shell structure based on a finite dimensional variational formulation // Mathematical and Computer Modelling of Dynamical Systems. – 2015. – 21. – P. 591-612. DOI: 10.1080/13873954.2015.1065278

V. Grushkovskaya, A. L. Zuyev
Optimal stabilization problem with minimax cost in a critical case // IEEE Transactions on Automatic Control. – 2014. – Vol. 59. – P. 2512-2517. 

A.L. Zuev, Y.V. Novikova
Stabilization of Kirchhoff Plate Oscillations Using State-Feedback Control // Proceedings of the Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine. . – 2014. – Т. 28. – С. 31-44. 

A.L. Zuev, Y.V. Novikova
Stabilization of the Motion of a Rotating Body with an Elastic Plate // Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine.  – 2014. – Т. 11, № 4. – С. 112-124. 

A.L. Zuev, Y.V. Novikova
Estimation of the attainability set in the Kirchhoff plate vibration problem // Ukrainian Mathematical Journal.  – 2014. – Т. 66, № 11. – С. 1463-1476. 

Professional Development (Internship):

6.03.2019-29.09.2019 р.   – Max Planck Institute for the Dynamics of Complex Technical Systems (Magdeburg, Germany)

1.06.2018-21.12.2018 р.  – Max Planck Institute for the Dynamics of Complex Technical Systems (Magdeburg, Germany)

1.06.2017-15.12.2017 р.  – Max Planck Institute for the Dynamics of Complex Technical Systems (Magdeburg, Germany)

1.06.2016-30.11.2016 р.  – Max Planck Institute for the Dynamics of Complex Technical Systems (Magdeburg, Germany)

Supervision of Graduate Students:

  • I.G. Vasilyeva
  • Y.V. Novikova

Teaching Experience

Courses for undergraduate, graduate, and PhD students:

  • Data-Driven Reduction Methods for Control Systems, Control Theory for Deterministic Systems, Stability Theory of Nonlinear Systems (PhD students, Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine);
  • Mathematical Methods (graduate students, University of Klagenfurt, Austria);
  • Advanced Topics in Dynamical Systems (graduate students, Otto von Guericke University Magdeburg, Germany);
  • Mathematical Models in Natural and Social Sciences, Variational Principles, Control Theory, Qualitative Theory of Differential Equations (graduate students, Donetsk National University, Ukraine);
  • Financial Analysis, Discrete Mathematics (undergraduate students, Donetsk National University, Ukraine).