mathematical control theory; stability theory; distributed parameter systems; differential inclusions; stabilization; Lyapunovs direct method; mechanics of hybrid systems
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
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
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
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
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
A. Zuyev, V. Grushkovskaya, “Motion planning for control-affine systems satisfying low-order controllability conditions”, International Journal of Control, 90:11 (2017), 2517–2537
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
Zuyev A., Sawodny O., “Stabilization and Observability of a Rotating Timoshenko Beam Model”, Mathematical Problems in Engineering, 2007, 57238 , 19 pp.
Zuev A.L., “Stabilizatsiya neavtonomnykh sistem po chasti peremennykh s pomoschyu upravlyaemykh funktsii Lyapunova”, Problemy upravleniya i informatiki, 2000, no. 4, 25–34
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, 1500–1505arXiv: 1811.09120
V. Grushkovskaya, A. Zuyev, “Attractors of nonlinear dynamical systems with a weakly monotone measure”, Journal of Mathematical Analysis and Applications, 422 (2015), 559–570link
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
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
A. Zuyev, V. Grushkovskaya, “Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls”, IFAC-PapersOnLine, 50:1 (2017), 15343–15348
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), 156-178link
V. Grushkovskaya, A. Zuyev, “Optimal stabilization problem with minimax cost in a critical case”, IEEE Transactions on Automatic Control, 59:9 (2014), 2512-2517link
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
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), 591–612link
G. Sklyar, A. Zuyev, Stabilization of Distributed Parameter Systems: Design Methods and Applications, SEMA SIMAI Springer Series, Springer International Publishing, 2021
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
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
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
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
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
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
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
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
A. L. Zuev, “Control of a flexible manipulator within the framework of the Timoshenko beam model”, International Applied Mechanics, 41:12 (2005), 1418-1425
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
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
34.
A. Zuyev, J. Novikova, “Modeling and Stabilization of a Rotating Mechanical System with Elastic Plates”, IFAC-PapersOnLine, 51:2 (2018), 493–498
35.
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
36.
A. Zuyev, “Reachable sets of quasilinear hyperbolic control systems with applications to separation processes”, PAMM - Proceedings in Applied Mathematics and Mechanics, 15:1 (2015), 647–648link
37.
A. L. Zuev, A. O. Ignatev, A. M. Kovalev, Ustoichivost i stabilizatsiya nelineinykh sistem, Naukova dumka, Kiev, 2013 , 431 pp. link
38.
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
39.
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
40.
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
41.
V. V. Grushkovskaya, A. L. Zuev, “Asimptoticheskie svoistva traektorii nelineinoi sistemy v sluchae rezonansa chetvertogo poryadka”, Mekhanika tverdogo tela, 2013, no. 43, 109-123link
42.
I. G. Vasileva, A. L. Zuev, “Chastichnaya stabilizatsiya nelineinykh sistem so sluchainymi vozdeistviyami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 25 (2012), 33-41
43.
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
44.
A. L. Zuev, Yu. V. Novikova, “Optimalnoe upravleniya modelyu plastiny Kirkhgofa”, Mekhanika tverdogo tela, 2012, no. 42, 165-178link
45.
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
46.
A. L. Zuev, Yu. I. Kucher, “Skhodimost posledovatelnosti priblizhennykh reshenii dinamicheskikh uravnenii uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 23 (2011), 86-99
47.
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
48.
A. L. Zuyev, “Modal approach to the controllability problem of distributed parameter systems”, Trudy Instituta prikladnoi matematiki i mekhaniki, 21 (2010), 107-113
49.
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
50.
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
51.
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
52.
T. N. Chumachenko, A. L. Zuev, “Issledovanie lokalnoi upravlyaemosti nelineinykh sistem metodom vozvrata”, Mekhanika tverdogo tela, 2008, no. 38, 136-144
53.
Zuev A.L., “Ob otnositelnoi kompaktnosti traektorii differentsialnykh uravnenii v banakhovom prostranstve”, Dopovidi NAN Ukraїni, 2007, no. 2, 7-12
54.
Zuev A.L., “Optimalnoe upravlenie v zadache o kolebaniyakh uprugoi sistemy”, Dinamicheskie sistemy, 2007, no. 22, 37-45
55.
Zuev A.L., “Priblizhennaya upravlyaemost uprugoi sistemy s obobschennymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 14 (2007), 89-96
56.
A. L. Zuev, “Asimptoticheskie svoistva traektorii v zadache ob upralyaemykh kolebaniyakh uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 15 (2007), 70-78
57.
Zuyev A.L., “Control of a system with elastic components in the non-resonance case”, Ukrainian Mathematical Bulletin, 3:1 (2006), 131-144
Zuev A.L., “Asimptoticheskie svoistva sobstvennykh znachenii v zadache o kolebanii uprugogo manipulyatora”, Mekhanika tverdogo tela, 2006, no. 36, 114-122
60.
Zuev A.L., “O linearizatsii upravlyaemoi sistemy s modalnymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 13 (2006), 97-102
61.
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
62.
Zuev A.L., “Modelirovanie prostranstvennogo uprugogo manipulyatora s teleskopicheskim dvizheniem zvenev”, Trudy Instituta prikladnoi matematiki i mekhaniki, 10 (2005), 51-58
Zuev A.L., “Stabilizatsiya modeli gibkogo mnogozvennika s passivnymi sharnirami”, Mekhanika tverdogo tela, 2004, no. 34, 180-188
65.
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), 1-10link
66.
Zuev A.L., “Primenenie funktsii Lyapunova so znakootritsatelnoi proizvodnoi v zadachakh chastichnoi stabilizatsii”, Mekhanika tverdogo tela, 2000, no. 30, 222-227
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