Alexander Zuyev  List of Publications
List of publications of Alexander Zuyev
Books
 Zuyev A.L. Partial Stabilization and Control of Distributed Parameter Systems with Elastic Elements.  Springer, 2015.  232 p.
 Zuyev A.L., Ignatyev A.O., Kovalev A.M. Stability and Stabilization of Nonlinear Systems.  Kiev: Naukova Dumka, 2013.  431 p. (in Russian)
Articles
2018
 On a class of generating vector fields for the extremum seeking problem: Lie bracket approximation and stability properties (coauthored with V. Grushkovskaya and C. Ebenbauer), Automatica.  2018.  Vol. 94.  P. 151160.
 Modeling and stabilization of a rotating mechanical system with elastic plates (coauthored with J. Novikova), IFACPapersOnLine.  2018.  Vol.51, No.2.  P. 493–498.
 A family of extremum seeking laws for a unicycle model with a moving target: theoretical and experimental studies (coauthored with V. Grushkovskaya, S. Michalowsky, M. May, and C. Ebenbauer), 2018 European Control Conference (ECC), June 1215, 2018, Limassol, Cyprus.  P. 912917.
2017
 Motion planning for controlaffine systems
satisfying loworder controllability conditions (coauthored with V. Grushkovskaya), International Journal of Control.  2017.  Vol. 90.  P. 25172537.
 An isoperimetric optimal control problem for a nonisothermal chemical reactor with periodic inputs (coauthored with A. SeidelMorgenstern and P. Benner), Chemical Engineering Science.  2017.  Vol. 161.  P. 206214.
 Twopoint problem for systems satisfying the controllability condition with Lie brackets of the second order (coauthored with V.V. Grushkovskaya), Journal of Mathematical Sciences.  2017.  Vol. 220, No. 3.  P. 301317.
 Obstacle avoidance problem for driftless nonlinear systems with oscillating controls (coauthored with V.V. Grushkovskaya), IFACPapersOnLine.  2017.  Vol.50, No.1.  P. 15343–15348.
 Extremum seeking for timevarying functions using Lie bracket approximations (coauthored with V.V. Grushkovskaya, H.B. Dürr, and C. Ebenbauer), IFACPapersOnLine.  2017.  Vol.50, No.1.  P. 5522–5528.
 Computation of periodic switching strategies for the optimal control of chemical reactors (coauthored with P. Benner and A. SeidelMorgenstern), in: Mathematical and Numerical Aspects of Dynamical System Analysis (J. Awrejcewicz, M. Kazmierczak, J. Mrozowski, and P. Olejnik, Eds.).  Lodz University of Technology, 2017.  P. 5966.
 Construction of a Lyapunov functional for a class of controlled population balance models (coauthored with A. Kienle and P. Benner), PAMM  Proceedings in Applied Mathematics and Mechanics.  2017.  Vol. 17, No. 1.  P. 827828.
 Motion planning problem with obstacle avoidance for step2 bracketgenerating systems (coauthored with V. Grushkovskaya), PAMM  Proceedings in Applied Mathematics and Mechanics.  2017.  Vol. 17, No. 1.  P. 799800.
2016
 Exponential stabilization of nonholonomic systems by means of oscillating controls, SIAM Journal on Control and Optimization.  2016.  Vol. 54.  P. 16781696. (arXiv: 1503.04413)
 Local steering problem for a class of controlaffine systems with application to continuous crystallization processes (coauthored with P. Benner), PAMM  Proceedings in Applied Mathematics and Mechanics.  2016.  Vol. 16, No.1.  P. 831832.
 Timevarying stabilization of a class of driftless systems satisfying secondorder controllability conditions (coauthored with V. Grushkovskaya and P. Benner), Proc. 2016 European Control Conference, Aalborg (Denmark), 2016, P. 575580.
2015
 Modelling and control of a shell structure based on a finite dimensional variational formulation (coauthored with O. Sawodny), Mathematical and Computer Modelling of Dynamical Systems.  2015. Vol. 21.  P. 591612.
 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. 647648.
 Attractors of nonlinear dynamical systems with a weakly monotone measure (coauthored with V. Grushkovskaya), Journal of Mathematical Analysis and Applications.  2015.  Vol. 422.  P. 559570.
 Estimation of the reachable set for the problem of vibrating Kirchhoff plate (coauthored with Yu.V. Novikova), Ukrainian Mathematical Journal.  2015.  Vol. 66, No. 11.  P. 16391653.
2014
 Optimal stabilization problem with minimax cost in a critical case (coauthored with V. Grushkovskaya), IEEE Transactions on Automatic Control.  2014.  Vol. 59.  P. 25122517.
 Stabilization of a rotating body with elastic plate (coauthored with Yu.V. Novikova), Proceedings of the Institute of Mathematics, National Academy of Sciences of Ukraine.  2014.  Vol. 11, No. 4.  P. 112124. (in Russian)
 Approximate solution of a boundary value problem for controllable systems satisfying the rank condition (coauthored with V.V. Grushkovskaya), Proceedings of the Institute of Mathematics, National Academy of Sciences of Ukraine.  2014.  Vol. 11, No. 4.  P. 87102. (in Russian)
 Stabilization of oscillations of the Kirchhoff plate by means of a state feedback law (coauthored with Yu.V. Novikova), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2014, Vol. 28, P. 6276. (in Russian)
 Analysis of the limit set for a nonlinear stochastic system with respect to almost all initial conditions (coauthored with I.G. Vasilyeva), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2014, Vol. 28, P. 2027. (in Russian)
2013
 Asymptotic behavior of solutions of a nonlinear system in the critical case of q pairs of purely imaginary eigenvalues (coauthored with V. Grushkovskaya), Nonlinear Analysis: TMA. 2013. Vol. 80. P. 156178.
 Stabilization of a flexible beam model with distributed and lumped controls (coauthored with J.I. Kucher), Dynamical Systems, 2013, Vol. 3(31), No.12, P. 2535. (in Russian)
 Motion planning problem for a class of nonlinear systems with trigonometric control functions (coauthored with T.N. Astakhova), Dynamical Systems, 2013, Vol. 3(31), No.12, P. 159167. (in Russian)
 Asymptotic properties of the trajectories of a nonlinear system in a case of the fourth order resonance (coauthored with V.V. Grushkovskaya), Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2013, No. 43, P. 109123. (in Russian)
 Optimal stabilization of nonlinear systems by an output feedback law in a critical case (coauthored with V. Grushkovskaya), Proc. 52nd IEEE Conf. on Decision and Control, Florence (Italy), 2013, P. 46074612.
2012
 Optimal control of the Kirchhoff plate model (coauthored with Yu.V. Novikova), Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2012, No. 42, P. 163176. (in Russian)
 Exponential stabilization of a class of nonlinear systems by means of a hybrid control law (coauthored with T.N. Astakhova), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2012, Vol. 25, P. 310. (in Russian)
 Partial stabilization of nonlinear systems with random disturbances (coauthored with I.G. Vasilyeva), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2012, Vol. 25, P. 3341. (in Russian)
2011
 Small oscillations of a Kirchhoff plate with twodimensional control (coauthored with Yu.V. Novikova), Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2011, No. 41, P. 187198. (in Russian)
 Convergence of a sequence of approximate solutions for dynamic equations of a flexible beam (coauthored with J.I. Kucher), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2011, Vol. 23, P. 8699. (in Russian)
 Stability conditions for nonlinear dynamical systems with a monotonic measure on the
phase flow (coauthored with V.V. Grushkovskaya), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2011, Vol. 22, P. 6270 (in Russian).
 Stabilization of nonlinear systems in a class of control functions with discrete switching (coauthored with T.N. Astakhova), Scientific Notes of
Taurida National V.I. Vernadsky University, Ser. Phys. and Math. Sci., 2011, Vol. 24 (63), No. 3., P. 19. (in Russian)
 Asymptotic behavior of solutions of a system with critical variables in the case of two pairs of purely imaginary roots (coauthored with V.V. Grushkovskaya), Dynamical Systems, 2011, Vol. 1(29), No.2, P. 207218 (in Russian).
2010
 Modal approach to the controllability problem of distributed parameter systems, Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2010, Vol. 21, P. 107113.
 Approximate controllability of a rotating Kirchhoff plate model , Proc. 49th IEEE Conference on Decision and Control, Atlanta, GA (USA), 2010, P. 69446948.
2009

Feedback stabilization of a system of rigid bodies with a flexible beam,
in: Lecture Notes in Control and Information Sciences, Vol. 396,
Kozlowski K. (Ed.), Springer, 2009, P. 6981.

Application of the return method to the steering of nonlinear systems (coauthored with T. Chumachenko),
in: Lecture Notes in Control and Information Sciences, Vol. 396,
Kozlowski K. (Ed.), Springer, 2009, P. 8391.

Novel qualitative methods of nonlinear mechanics and their application to the analysis of multifrequency oscillations, stability, and control problems (coauthored with A.M. Kovalev, A.A. Martynyuk, O.A. Boichuk, A.G. Mazko, R.I. Petryshyn, V.Yu. Slyusarchuk, and V.I. Slyn'ko),
Nonlinear Dynamics and Systems Theory, 2009, Vol. 9, No. 2, P. 117145.
 Approximate controllability and spillover analysis of a class of
distributed parameter systems, Proc. Joint 48th IEEE Conference on Decision and Control & 28th Chinese Control Conference, Shanghai (P.R. China), 1618 December 2009, P. 32703275.
 Stabilization of a nonlinear system with a constrained set in the form of a triangle (coauthored with V.V. Grushkovskaya), Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2009, Vol. 19, P. 5364. (in Russian)
2008
 Localization of the limit set of trajectories of the EulerBernoulli equation with control, Ukrainian Mathematical Journal, 2008, Vol. 60, No. 2, P. 199210.
 Investigation of local controllability of nonlinear systems by the return method (coauthored with T.N. Chumachenko), Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2008, No. 38, P. 136144. (in Russian)
2007
 Stabilization and observability of a rotating Timoshenko beam model (coauthored with O. Sawodny), Mathematical Problems in Engineering, 2007, Article ID 57238, P. 119
(MathSciNet MR2417213, Zentralblatt MATH 1149.74042).
 On the relative compactness of the trajectories of differential equations in a Banach space, Reports of the National Academy of Sciences of Ukraine (Dopov. Nats. Akad. Nauk Ukr.), 2007, No. 2, P. 712 (in Russian, Zentralblatt MATH 05158620 ).
 Optimal control for the problem on oscillations of a flexible system, Dynamical Systems (Din. Sist.), 2007, Vol. 22, P. 3745 (in Russian,
Zentralblatt MATH pre05520409).
 Approximate controllability of an elastic system with generalized coordinates, Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2007, Vol. 14, P. 8996 (in Russian, Zentralblatt MATH 1137.93359).
2006
 Partial asymptotic stability of abstract dynamical processes,
Ukrainian Mathematical Journal, 2006, Vol. 58, No. 5, P. 709717 (MathSciNet MR2277286, Zentralblatt MATH 1126.34040).
 Control of a system with elastic components in the nonresonance case, Ukrainian Mathematical Bulletin, 2006, Vol. 3, No. 1, P. 131144 (MathSciNet MR2331171).
 Control of elastic oscillations by using a canonical form, Dynamical Systems (Din. Sist.), 2006, Vol. 20, P. 2734 (in Russian, Zentralblatt MATH 1113.93025).
 Asymptotic properties of eigenvalues for the problem on oscillations of a flexible beam, Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2006, No. 36, P. 2129 (in Russian, MathSciNet MR2399988).
 On the linearization of a control system with modal coordinates, Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), 2006, Vol. 13, P. 97102 (in Russian, MathSciNet MR2467524, Zentralblatt MATH 1137.93314).
 Stabilization of a manipulator model with an observer in the feedback circuit, Bulletin of Donetsk University, Ser. A: Natural Sciences, 2006, No. 1, P. 3339 (in Russian, ISSN 18172237).
2005

Partial asymptotic stabilization of nonlinear distributed parameter systems,
Automatica, 2005, Vol. 41, No. 1, P. 110 (MathSciNet MR2157227, Zentralblatt MATH 1067.93037).
 Stabilizability conditions in terms of critical Hamiltonians and symbols (coauthored with B. Jakubczyk),
Systems & Control Letters, 2005, Vol. 54, P. 597606 (MathSciNet MR2136878, Zentralblatt MATH 1129.93504).

Control of a flexible manipulator within the framework of the Timoshenko beam model
,
International Applied Mechanics, 2005, Vol. 41, No. 12, P. 1418  1425 (MathSciNet MR2249092, Zentralblatt MATH 1116.74044).
 Synthesis of a dynamical observer for a flexible manipulator model,
Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2005, No. 35, P. 217223 (in Russian, MathSciNet MR2338056).

Modeling of a spatial flexible manipulator with the telescopic motion of links,
Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.), Vol. 10, P. 5158 (in Russian, MathSciNet MR2353720, Zentralblatt MATH 1137.93358).
19972004
 Stabilization of a flexible manipulator model with passive joints,
Mechanics of Rigid Bodies (Mekh. Tverd. Tela), 2004, No. 34, P. 6472 (in Russian, MathSciNet MR2332994).
 On the asymptotic behavior of solutions in the critical case of two pairs of purely imaginary roots (coauthored with K. Peiffer and A.Ya. Savchenko),
Problems of Nonlinear Analysis in Engineering Systems, 2003, Vol. 9, No. 2 (18), P. 110.
 The synthesis of stabilizing control of a rigid body with attached elastic elements (coauthored with A.M. Kovalev and V.F. Shcherbak),
Journal of Automation and Information Sciences, 2002, Vol. 34, No. 11, P. 516 (MathSciNet MR2010699).
 On partial stabilization of satellite orientation by means of two control torques,
Space Science and Technology, 2001, Vol. 7, No. 1 (appendix), P. 7681.
 Stabilization of NonAutonomous Systems with Respect to a Part of Variables by means of control Lyapunov functions,
Journal of Automation and Information Sciences, 2000, Vol. 32, No. 10, P. 1825
(MathSciNet MR1807989).
 Application of Lyapunov function having a fixed sign derivative in the problems of partial stabilization,
Mechanics of Rigid Bodies (Mekh. Tverd. Tela),
2000, No. 30, P. 229234
(in Russian,
Zentralblatt MATH 1047.70600 ,
MathSciNet MR1907442).
 Nonasymptotic stabilization by means of a discontinuous feedback law (coauthored with A.M. Kovalev), Bulletin of Kharkov State Technological University, 1999, Vol. 70, P. 7681 (in Russian, ISSN 04537998).
 Construction of stabilizing feedback law by means of control Lyapunov function with respect to a part of the variables,
Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.),
1999, Vol. 4, P. 7076 (in Russian,
Zentralblatt MATH 0966.93092,
MathSciNet MR1841156).
 The use of multiobjective optimization methods for the modeling of taxation modifications (coauthored with L. Zuyev and Ya. Savchenko), Reform of interbudget relations and problems of development of Ukrainian tax structure, 1999, pp. 221223 (in Russian, ISBN9667257193).
 On the asymptotic estimates of solutions in stability case on the third order forms,
Proceedings of the Institute of Applied Mathematics and Mechanics (Tr. Inst. Prikl. Mat. Mekh.),
1998, Vol. 2, P. 6371 (in Russian,
Zentralblatt MATH 0982.34043,
MathSciNet MR1791125).
 On stability of permanent rotations of a wind turbine model (coauthored with A.Ya. Savchenko),
Mechanics of Rigid Bodies (Mekh. Tverd. Tela),
1997, Vol. 29, P. 3038. (in Russian)
Conference papers
 Zuyev A., Sawodny O. Observer design for a flexible manipulator model with a payload,
Proc. 45th IEEE Conference on Decision and Control, San Diego (USA), 1315 December 2006, pp. 44904495.
 Zuyev A.L., Sawodny O. Control design for Galerkin approximations of a flexible structure,
Proc. of the IFAC Workshop on
Generalized Solutions in Control Problems GSCP2004, Moscow: Fizmatlit, 2004, pp. 311318.
 Savchenko A.Ya., Zuyev A.L. Stability analysis of a wind engine model with elasticity ,
Proc. of the 4th International Workshop on Robot Motion and Control (RoMoCo'04), 2004, pp. 213217.
 Zuyev A.L. Partial asymptotic stability and stabilization of nonlinear abstract differential equations,
Proc. of the 42nd IEEE Conference on Decision and Control (CDC'03), Maui, Hawaii USA, December 2003, pp. 13211326.
 Zuyev A.L. Stabilization of a MultiLink Flexible Manipulator by Torque Control,
Proc. 48. Internationales Wissenschaftliches Kolloquium, Ilmenau (Germany), September 2225, 2003.
 Zuyev A.L. Control and Stabilization of a Rotating Planar Body With Flexible Attachments,
Proc. 2003 International Conference "Physics and Control". (Eds. A.L. Fradkov and A.N. Churilov). St.Petersburg, Russia, 2003, Vol. 4, pp. 13571362.
 Zuyev A.L. Partial stabilization of a rigid body with several elastic beams,
Proc. 15th IFAC World Congress, Barcelona (Spain), July 2002.
 Zuyev A.L. Controllability analysis of a rotating body with flexible beams, Proceedings of the 3rd International Workshop on Robot Motion and Control (RoMoCo'02), Bukowy Dworek (Poland), 2002, pp. 357362.
 Zuyev A.L. Motion planning and partial stabilization of infinitedimensional systems, Proc. of the Second International Workshop on Robot Motion and Control (RoMoCo'01).  Bukowy Dworek (Poland).  2001. pp. 129134.
 Zuyev A.L. On partial stabilization of nonlinear autonomous systems: sufficient conditions and examples, Proc. of the European Control Conference ECC'01.  Porto (Portugal).  2001.  pp. 19181922.
 Zuyev A.L. Application of Control Lyapunov Functions Technique for Partial Stabilization, Proc. of the 2001 IEEE International Conference on Control Applications (CCA'01), Mexico, 2001, pp. 509513.
 Kovalev A.M., Zuyev A.L. On nonasymptotic stabilizability of controllable systems, Proc. of the 14th Int. Symp. on Mathematical Theory of Networks and Systems (MTNS2000), Perpignan (France), 2000, CDROM file B80.pdf.
 Zuyev A.L. Control Lyapunov functions technique for partial stabilization, Proc. of the UKACC International Conference "CONTROL 2000", Cambridge (UK), 2000, CDROM file 181.pdf.
 Zuiev A.L. On Brockett's condition for smooth stabilization with respect to a part of the variables, Proc. of the European Control Conference ECC'99, Karlsruhe (Germany), 1999, CDROM file f0608.pdf.
 Zuyev A.L. On optimal asymptotic stability with respect to the critical variables, Proc. Int. Conf. "Mathematics in Industry" ICIM98, Taganrog (Russia), July 1998, pp. 147149 (in Russian).
List of publications in Ukrainian (with abstracts)
Thesis: Candidate of Sciences (PhD)
Thesis: Doctor of Sciences (Dr. habil.)