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
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
2.
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
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, J. Novikova, “Modeling and Stabilization of a Rotating Mechanical System with Elastic Plates”, IFAC-PapersOnLine, 51:2 (2018), 493–498
5.
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, 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, “Motion planning for control-affine systems satisfying low-order controllability conditions”, International Journal of Control, 90:11 (2017), 2517–2537
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
9.
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, “Obstacle Avoidance Problem for Driftless Nonlinear Systems with Oscillating Controls”, IFAC-PapersOnLine, 50:1 (2017), 15343–15348
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
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
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. 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
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
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
V. Grushkovskaya, A. Zuyev, “Attractors of nonlinear dynamical systems with a weakly monotone measure”, Journal of Mathematical Analysis and Applications, 422 (2015), 559–570link
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
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
20.
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
V. Grushkovskaya, A. Zuyev, “Optimal stabilization problem with minimax cost in a critical case”, IEEE Transactions on Automatic Control, 59:9 (2014), 2512-2517link
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
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
24.
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
25.
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
26.
V. V. Grushkovskaya, A. L. Zuev, “Asimptoticheskie svoistva traektorii nelineinoi sistemy v sluchae rezonansa chetvertogo poryadka”, Mekhanika tverdogo tela, 2013, no. 43, 109-123link
27.
I. G. Vasileva, A. L. Zuev, “Chastichnaya stabilizatsiya nelineinykh sistem so sluchainymi vozdeistviyami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 25 (2012), 33-41
28.
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
29.
A. L. Zuev, Yu. V. Novikova, “Optimalnoe upravleniya modelyu plastiny Kirkhgofa”, Mekhanika tverdogo tela, 2012, no. 42, 165-178link
30.
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
31.
A. L. Zuev, Yu. I. Kucher, “Skhodimost posledovatelnosti priblizhennykh reshenii dinamicheskikh uravnenii uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 23 (2011), 86-99
32.
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
33.
A. L. Zuyev, “Modal approach to the controllability problem of distributed parameter systems”, Trudy Instituta prikladnoi matematiki i mekhaniki, 21 (2010), 107-113
34.
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., “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
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
38.
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. V. Grushkovskaya, A. L. Zuev, “Stabilizatsiya nelineinoi sistemy s ogranichivayuschim mnozhestvom v vide treugolnika”, Trudy Instituta prikladnoi matematiki i mekhaniki, 19 (2009), 53-64
40.
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
41.
T. N. Chumachenko, A. L. Zuev, “Issledovanie lokalnoi upravlyaemosti nelineinykh sistem metodom vozvrata”, Mekhanika tverdogo tela, 2008, no. 38, 136-144
42.
Zuyev A., Sawodny O., “Stabilization and Observability of a Rotating Timoshenko Beam Model”, Mathematical Problems in Engineering, 2007, 57238 , 19 pp.
Zuev A.L., “Ob otnositelnoi kompaktnosti traektorii differentsialnykh uravnenii v banakhovom prostranstve”, Dopovidi NAN Ukraїni, 2007, no. 2, 7-12
44.
Zuev A.L., “Optimalnoe upravlenie v zadache o kolebaniyakh uprugoi sistemy”, Dinamicheskie sistemy, 2007, no. 22, 37-45
45.
Zuev A.L., “Priblizhennaya upravlyaemost uprugoi sistemy s obobschennymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 14 (2007), 89-96
46.
A. L. Zuev, “Asimptoticheskie svoistva traektorii v zadache ob upralyaemykh kolebaniyakh uprugoi balki”, Trudy Instituta prikladnoi matematiki i mekhaniki, 15 (2007), 70-78
47.
A. L. Zuev, “Partial asymptotic stability of abstract differential equations”, Ukrainian Mathematical Journal, 58:5 (2006), 709-717
Zuev A.L., “Asimptoticheskie svoistva sobstvennykh znachenii v zadache o kolebanii uprugogo manipulyatora”, Mekhanika tverdogo tela, 2006, no. 36, 114-122
51.
Zuev A.L., “O linearizatsii upravlyaemoi sistemy s modalnymi koordinatami”, Trudy Instituta prikladnoi matematiki i mekhaniki, 13 (2006), 97-102
52.
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
53.
Zuyev A., “Partial asymptotic stabilization of nonlinear distributed parameter systems”, Automatica, 41:1 (2005), 1-10
A. L. Zuev, “Control of a flexible manipulator within the framework of the Timoshenko beam model”, International Applied Mechanics, 41:12 (2005), 1418-1425
Zuev A.L., “Stabilizatsiya modeli gibkogo mnogozvennika s passivnymi sharnirami”, Mekhanika tverdogo tela, 2004, no. 34, 180-188
59.
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
60.
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
Zuev A.L., “Stabilizatsiya neavtonomnykh sistem po chasti peremennykh s pomoschyu upravlyaemykh funktsii Lyapunova”, Problemy upravleniya i informatiki, 2000, no. 4, 25–34
Zuev A.L., “Primenenie funktsii Lyapunova so znakootritsatelnoi proizvodnoi v zadachakh chastichnoi stabilizatsii”, Mekhanika tverdogo tela, 2000, no. 30, 222-227
63.
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
Zuev A.L., “Ob asimptoticheskikh otsenkakh reshenii v sluchae ustoichivosti po formam tretego poryadka”, Trudy Instituta prikladnoi matematiki i mekhaniki, 2 (1998), 63-71
G. Sklyar, A. Zuyev, Stabilization of Distributed Parameter Systems: Design Methods and Applications, SEMA SIMAI Springer Series, Springer International Publishing, 2021