Persons: Zuyev, Alexander Leonidovich

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Zuyev, Alexander Leonidovich

Total publications:	68 (68)
in MathSciNet:	44 (44)
in zbMATH:	38 (38)
in Web of Science:	22 (22)
in Scopus:	33 (33)
Cited articles:	32
Citations:	320

Number of views:
This page:	4240

Corresponding member of the National Academy of Sciences of Ukraine

Professor

Doctor of physico-mathematical sciences (2008)

E-mail:

Website:

https://zuyev.science

Keywords:

mathematical control theory; stability theory; distributed parameter systems; differential inclusions; stabilization; Lyapunovs direct method; mechanics of hybrid systems

UDC:

517.977, 531.36, 531.39

MSC:

93D15, 93D30, 34D20, 34A60, 34G20

Subject:

Mathematical Control Theory; Distributed Parameter Systems; Stability Theory; Qualitative Theory of Differential Equations

Main publications:

Zuyev A.L., Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements, Springer, 2015
Sklyar G., Zuyev A. (Eds.), Stabilization of Distributed Parameter Systems: Design Methods and Applications, Springer, 2021
Zuev A.L., Ignatev A.O., Kovalev A.M., Ustoichivost i stabilizatsiya nelineinykh sistem, Naukova dumka, Kiev, 2013
Zuyev A., “Exponential stabilization of nonholonomic systems by means of oscillating controls”, SIAM Journal on Control and Optimization, 54 (2016), 1678–1696
Zuyev A., Grushkovskaya V.,, “Motion planning for control-affine systems satisfying low-order controllability conditions”, International Journal of Control, 90 (2017), 2517–2537

https://www.mathnet.ru/eng/person17541

https://scholar.google.com/citations?user=m92pPCsAAAAJ&hl=en

https://zbmath.org/authors/?q=ai:zuyev.alexander

https://mathscinet.ams.org/mathscinet/MRAuthorID/669678

https://orcid.org/0000-0002-7610-5621

https://www.webofscience.com/wos/author/record/A-7050-2010

https://www.scopus.com/authid/detail.url?authorId=6602946359

https://www.researchgate.net/profile/Alexander_Zuyev

Full list of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2021
1.	G. Sklyar, A. Zuyev, Stabilization of Distributed Parameter Systems: Design Methods and Applications, SEMA SIMAI Springer Series, Springer International Publishing, 2021	3 ^[x]

2020
2.	A. L. Zuyev, “Mathematical control theory: nonlinear dynamics and engineering applications”, Visnyk of the National Academy of Sciences of Ukraine, 2020, no. 1, 29-37

2019
3.	P. Benner, A. Seidel-Morgenstern, A. Zuyev, “Periodic switching strategies for an isoperimetric control problem with application to nonlinear chemical reactions”, Applied Mathematical Modelling, 69 (2019), 287–300 , arXiv: 1811.07421	24 ^[x]

2018
4.	V. Grushkovskaya, A. Zuyev, C. Ebenbauer, “On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties”, Automatica, 94 (2018), 151–160 , arXiv: 1703.02348	69 ^[x]
5.	A. Zuyev, J. Novikova, “Modeling and Stabilization of a Rotating Mechanical System with Elastic Plates”, IFAC-PapersOnLine, 51:2 (2018), 493–498
6.	V. Grushkovskaya, A. Zuyev, “Obstacle Avoidance Problem for Second Degree Nonholonomic Systems”, Proceedings of the IEEE Conference on Decision and Control (CDC 2018), IEEE, 2018, 1500–1505 arXiv: 1811.09120	9 ^[x]
7.	V. Grushkovskaya, S. Michalowsky, A. Zuyev, M. May, C. Ebenbauer, “A family of extremum seeking laws for a unicycle model with a moving target: Theoretical and experimental studies”, Proc. 2018 European Control Conference (ECC 2018), IEEE, 2018, 912–917	6 ^[x]

2017
8.	A. Zuyev, V. Grushkovskaya, “Motion planning for control-affine systems satisfying low-order controllability conditions”, International Journal of Control, 90:11 (2017), 2517–2537	18 ^[x]
9.	V. V. Grushkovskaya, A. L. Zuyev, “Two-point problem for systems satisfying the controllability condition with Lie brackets of the second order”, Journal of Mathematical Sciences, 220:3 (2017), 301-317
10.	A. Zuyev, A. Seidel-Morgenstern, P. Benner, “An isoperimetric optimal control problem for a non-isothermal chemical reactor with periodic inputs”, Chemical Engineering Science, 161 (2017), 206-214	23 ^[x]
11.	A. Zuyev, V. Grushkovskaya, “Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls”, IFAC-PapersOnLine, 50:1 (2017), 15343–15348	8 ^[x]
12.	V. Grushkovskaya, H.-B. Dürr, C. Ebenbauer, A. Zuyev, “Extremum Seeking for Time-Varying Functions using Lie Bracket Approximations”, IFAC-PapersOnLine, 50:1 (2017), 5522–5528	16 ^[x]
13.	A. 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, 17 (2017), 827–828	2 ^[x]
14.	V. Grushkovskaya, A. Zuyev, “Motion planning problem with obstacle avoidance for step-2 bracket-generating systems”, PAMM - Proceedings in Applied Mathematics and Mechanics, 17 (2017), 799–800	1 ^[x]

2016
15.	A. Zuyev, “Exponential stabilization of nonholonomic systems by means of oscillating controls”, SIAM Journal on Control and Optimization, 54:3 (2016), 1678-1696 , arXiv: 1503.04413	37 ^[x]
16.	A. 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, 16:1 (2016), 831-832	2 ^[x]
17.	A. Zuyev, V. Grushkovskaya, P. Benner, “Time-varying stabilization of a class of driftless systems satisfying second-order controllability conditions”, 2016 European Control Conference (ECC) (Aalborg, Denmark, June 29-July 1, 2016.), IEEE, 2016, 575-580	8 ^[x]

2015
18.	A. Zuyev, Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements, Springer, 2015 , 232 pp. link	10 ^[x]
19.	V. Grushkovskaya, A. Zuyev, “Attractors of nonlinear dynamical systems with a weakly monotone measure”, Journal of Mathematical Analysis and Applications, 422 (2015), 559–570 link	11 ^[x]
20.	A. Zuyev, O. Sawodny, “Modelling and control of a shell structure based on a finite dimensional variational formulation”, Mathematical and Computer Modelling of Dynamical Systems, 21:6 (2015), 591–612 link	4 ^[x]
21.	A. Zuyev, “Reachable sets of quasilinear hyperbolic control systems with applications to separation processes”, PAMM - Proceedings in Applied Mathematics and Mechanics, 15:1 (2015), 647–648 link
22.	A. L. Zuev, Yu. V. Novikova, “Estimation of the reachable set for the problem of vibrating Kirchhoff plate”, Ukrainian Mathematical Journal, 66:11 (2015), 1639-1653	1 ^[x]

2014
23.	V. Grushkovskaya, A. Zuyev, “Optimal stabilization problem with minimax cost in a critical case”, IEEE Transactions on Automatic Control, 59:9 (2014), 2512-2517 link	7 ^[x]

2013
24.	A. L. Zuev, A. O. Ignatev, A. M. Kovalev, Ustoichivost i stabilizatsiya nelineinykh sistem, Naukova dumka, Kiev, 2013 , 431 pp. link
25.	V. Grushkovskaya, A. Zuyev, “Asymptotic behavior of solutions of a nonlinear system in the critical case of q pairs of purely imaginary eigenvalues”, Nonlinear Analysis: TMA, 80 (2013), 156-178 link	8 ^[x]
26.	T. N. Astakhova, A. L. Zuev, “Zadacha planirovaniya dvizheniya dlya klassa nelineinykh sistem s trigonometricheskimi funktsiyami upravleniya”, Dinamicheskie sistemy, 3 (31):1-2 (2013), 159-167
27.	A. L. Zuev, Yu. I. Kucher, “Stabilizatsiya modeli uprugoi balki s raspredelennymi i sosredotochennymi upravlyayuschimi vozdeistviyami”, Dinamicheskie sistemy, 3 (31):1-2 (2013), 25-35
28.	V. Grushkovskaya, A. Zuyev, “Optimal stabilization of nonlinear systems by an output feedback law in a critical case”, 52nd IEEE Conference on Decision and Control, CDC 2013 (Florence, 10-13 December 2013), IEEE, 2013, 4607-4612
29.	V. V. Grushkovskaya, A. L. Zuev, “Asimptoticheskie svoistva traektorii nelineinoi sistemy v sluchae rezonansa chetvertogo poryadka”, Mekhanika tverdogo tela, 2013, no. 43, 109-123 link

2012
30.	I. G. Vasileva, A. L. Zuev, “Chastichnaya stabilizatsiya nelineinykh sistem so sluchainymi vozdeistviyami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 25 (2012), 33-41
31.	T. N. Astakhova, A. L. Zuev, “Eksponentsialnaya stabilizatsiya klassa nelineinykh sistem s pomoschyu gibridnogo zakona upravleniya”, Trudy Instituta prikladnoi matematiki i mekhaniki, 25 (2012), 3-10
32.	A. L. Zuev, Yu. V. Novikova, “Optimalnoe upravleniya modelyu plastiny Kirkhgofa”, Mekhanika tverdogo tela, 2012, no. 42, 165-178 link

2011
33.	V. V. Grushkovskaya, A. L. Zuev, “Usloviya ustoichivosti nelineinykh dinamicheskikh sistem s monotonnoi meroi na fazovom potoke”, Trudy Instituta prikladnoi matematiki i mekhaniki, 22 (2011), 62-70
34.	A. L. Zuev, Yu. I. Kucher, “Skhodimost posledovatelnosti priblizhennykh reshenii dinamicheskikh uravnenii uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 23 (2011), 86-99
35.	V. V. Grushkovskaya, A. L. Zuev, “Asimptoticheskoe povedenie reshenii sistemy s kriticheskimi peremennymi v sluchae dvukh par chisto mnimykh kornei”, Dinamicheskie sistemy, 1 (29):2 (2011), 207-218

2010
36.	A. L. Zuyev, “Modal approach to the controllability problem of distributed parameter systems”, Trudy Instituta prikladnoi matematiki i mekhaniki, 21 (2010), 107-113
37.	Zuyev A., “Approximate controllability of a rotating Kirchhoff plate model”, 49th IEEE Conference on Decision and Control, CDC 2010 (Atlanta, 15-17 December 2010), IEEE, 2010, 6944-6948	2 ^[x]

2009
38.	Zuyev A., “Feedback Stabilization of a System of Rigid Bodies with a Flexible Beam”, Lecture Notes in Control and Information Sciences, Vol. 396, eds. K. Kozlowski, Springer, 2009, 69-81	1 ^[x]
39.	Chumachenko T., Zuyev A., “Application of the Return Method to the Steering of Nonlinear Systems”, Lecture Notes in Control and Information Sciences, Vol. 396, eds. K. Kozlowski, Springer, 2009, 83-91	1 ^[x]
40.	Kovalev A.M., Martynyuk A.A., Boichuk O.A., Mazko A.G., Petryshyn R.I., Slyusarchuk V.Yu., Zuyev A.L., Slyn'ko V.I., “Novel Qualitative Methods of Nonlinear Mechanics and their Application to the Analysis of Multifrequency Oscillations, Stability, and Control Problems”, Nonlinear Dynamics and Systems Theory, 9:2 (2009), 117-145
41.	Zuyev A., “Approximate controllability and spillover analysis of a class of distributed parameter systems”, 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 (Shanghai, 15-18 December 2009), IEEE, 2009, 3270-3275	2 ^[x]
42.	V. V. Grushkovskaya, A. L. Zuev, “Stabilizatsiya nelineinoi sistemy s ogranichivayuschim mnozhestvom v vide treugolnika”, Trudy Instituta prikladnoi matematiki i mekhaniki, 19 (2009), 53-64

2008
43.	A. L. Zuev, “Localization of the limit set of trajectories of the Euler-Bernoulli equation with control”, Ukrainian Mathematical Journal, 60:2 (2008), 199-210
44.	T. N. Chumachenko, A. L. Zuev, “Issledovanie lokalnoi upravlyaemosti nelineinykh sistem metodom vozvrata”, Mekhanika tverdogo tela, 2008, no. 38, 136-144

2007
45.	Zuyev A., Sawodny O., “Stabilization and Observability of a Rotating Timoshenko Beam Model”, Mathematical Problems in Engineering, 2007, 57238 , 19 pp.	15 ^[x]
46.	Zuev A.L., “Ob otnositelnoi kompaktnosti traektorii differentsialnykh uravnenii v banakhovom prostranstve”, Dopovidi NAN Ukraїni, 2007, no. 2, 7-12
47.	Zuev A.L., “Optimalnoe upravlenie v zadache o kolebaniyakh uprugoi sistemy”, Dinamicheskie sistemy, 2007, no. 22, 37-45
48.	Zuev A.L., “Priblizhennaya upravlyaemost uprugoi sistemy s obobschennymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 14 (2007), 89-96
49.	A. L. Zuev, “Asimptoticheskie svoistva traektorii v zadache ob upralyaemykh kolebaniyakh uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 15 (2007), 70-78

2006
50.	A. L. Zuev, “Partial asymptotic stability of abstract differential equations”, Ukrainian Mathematical Journal, 58:5 (2006), 709-717	5 ^[x]
51.	Zuyev A.L., “Control of a system with elastic components in the non-resonance case”, Ukrainian Mathematical Bulletin, 3:1 (2006), 131-144
52.	Zuev A.L., “Upravlenie uprugimi kolebaniyami s ispolzovaniem kanonicheskoi formy”, Dinamicheskie sistemy, 2006, no. 20, 27-34
53.	Zuev A.L., “Asimptoticheskie svoistva sobstvennykh znachenii v zadache o kolebanii uprugogo manipulyatora”, Mekhanika tverdogo tela, 2006, no. 36, 114-122
54.	Zuev A.L., “O linearizatsii upravlyaemoi sistemy s modalnymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 13 (2006), 97-102
55.	A. Zuyev, O. Sawodny, “Observer design for a flexible manipulator model with a payload”, 45th IEEE Conference on Decision and Control 2006, CDC (San Diego, 13-15 December 2006), IEEE, 2006, 4490-4495

2005
56.	Zuyev A., “Partial asymptotic stabilization of nonlinear distributed parameter systems”, Automatica, 41:1 (2005), 1-10	5 ^[x]
57.	Jakubczyk B., Zuyev A., “Stabilizability conditions in terms of critical Hamiltonians and symbols”, Systems & Control Letters, 54:6 (2005), 597-606	3 ^[x]
58.	A. L. Zuev, “Control of a flexible manipulator within the framework of the Timoshenko beam model”, International Applied Mechanics, 41:12 (2005), 1418-1425	1 ^[x]
59.	Zuev A.L., “Modelirovanie prostranstvennogo uprugogo manipulyatora s teleskopicheskim dvizheniem zvenev”, Trudy Instituta prikladnoi matematiki i mekhaniki, 10 (2005), 51-58
60.	Zuev A.L., “Sintez dinamicheskogo nablyudatelya dlya modeli uprugogo manipulyatora”, Mekhanika tverdogo tela, 2005, no. 35, 217-223

2004
61.	Zuev A.L., “Stabilizatsiya modeli gibkogo mnogozvennika s passivnymi sharnirami”, Mekhanika tverdogo tela, 2004, no. 34, 180-188

2003
62.	Peiffer K., Savchenko A.Ya., Zuyev A.L., “On the asymptotic behavior of solutions in the critical case of two pairs of purely imaginary roots”, Problems of Nonlinear Analysis in Engineering Systems, 9:2(18) (2003), 1-10 link

2002
63.	Kovalev A.M., Zuyev A.L., Shcherbak V.F., “The Synthesis of Stabilizing Control of a Rigid Body with Attached Elastic Elements”, Journal of Automation and Information Sciences, 34:11 (2002), 5-16	1 ^[x]

2000
64.	Zuev A.L., “Stabilizatsiya neavtonomnykh sistem po chasti peremennykh s pomoschyu upravlyaemykh funktsii Lyapunova”, Problemy upravleniya i informatiki, 2000, no. 4, 25–34	12 ^[x]
65.	Zuev A.L., “Primenenie funktsii Lyapunova so znakootritsatelnoi proizvodnoi v zadachakh chastichnoi stabilizatsii”, Mekhanika tverdogo tela, 2000, no. 30, 222-227

1999
66.	A. L. Zuiev, “On Brockett's condition for smooth stabilization with respect to a part of the variables”, European Control Conference, ECC 1999 - Conference Proceedings (Karlsruhe, 31 August - 3 September 1999), IEEE, 1999, 1729-1732	5 ^[x]

1998
67.	Zuev A.L., “Ob asimptoticheskikh otsenkakh reshenii v sluchae ustoichivosti po formam tretego poryadka”, Trudy Instituta prikladnoi matematiki i mekhaniki, 2 (1998), 63-71

1997
68.	Zuev A.L., Savchenko A.Ya., “Ob ustoichivosti ravnomernykh vraschenii modeli uzla vetroenergeticheskoi ustanovki”, Mekhanika tverdogo tela, 1997, no. 29, 30-38

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