On the extension of the Korobov's class of linearizable triangular systems by nonlinear control systems of the class C1 GM Sklyar, KV Sklyar, SY Ignatovich Systems & control letters 54 (11), 1097-1108, 2005 | 29 | 2005 |
Approximation of time-optimal control problems via nonlinear power moment problems GM Sklyar, SY Ignatovich SIAM journal on control and optimization 42 (4), 1325-1346, 2003 | 23 | 2003 |
Representations of control systems in the Fliess algebra and in the algebra of nonlinear power moments GM Sklyar, SY Ignatovich Systems & control letters 47 (3), 227-235, 2002 | 21 | 2002 |
Moment approach to nonlinear time optimality GM Sklyar, SY Ignatovich SIAM Journal on Control and Optimization 38 (6), 1707-1728, 2000 | 20 | 2000 |
A classification of linear time-optimal control problems in a neighborhood of the origin GM Sklyar, SY Ignatovich Journal of mathematical analysis and applications 203 (3), 791-811, 1996 | 17 | 1996 |
Description of all privileged coordinates in the homogeneous approximation problem for nonlinear control systems G Sklyar, S Ignatovich Comptes Rendus Mathematique 344 (2), 109-114, 2007 | 13 | 2007 |
Fliess series, a generalization of the Ree's theorem, and an algebraic approach to a homogeneous approximation problem GM Sklyar, SY Ignatovich International Journal of Control 81 (3), 371-380, 2008 | 12 | 2008 |
Conditions of Linearizability for Multi-control Systems of the Class KV Sklyar, SY Ignatovich, VO Skoryk | 9 | 2014 |
Realizable growth vectors of affine control systems SY Ignatovich Journal of dynamical and control systems 15, 557-585, 2009 | 9 | 2009 |
Linearizability of systems of the class C1 with multi-dimensional control KV Sklyar, SY Ignatovich Systems & Control Letters 94, 92-96, 2016 | 8 | 2016 |
Free algebras and noncommutative power series in the analysis of nonlinear control systems: an application to approximation problems G Sklyar, S Ignatovich | 7 | 2014 |
Solving of the polynomial systems arising in the linear time-optimal control problem VI Korobov, GM Sklyar, SY Ignatovich Commun. Math. Anal. Conf 3, 153-171, 2011 | 7 | 2011 |
Algebraic classification of nonlinear steering problems with constraints on control GM Sklyar, SY Ignatovich, PY Barkhaev Advances in mathematics research 6, 37-96, 2005 | 7 | 2005 |
Implementation of the algorithm for constructing homogeneous approximations of nonlinear control systems G Sklyar, P Barkhayev, S Ignatovich, V Rusakov Mathematics of Control, Signals, and Systems 34 (4), 883-907, 2022 | 6 | 2022 |
Time-optimal control problem for a special class of control systems: optimal controls and approximation in the sense of time optimality GM Sklyar, SY Ignatovich, SE Shugaryov Journal of Optimization Theory and Applications 165 (1), 62-77, 2015 | 6 | 2015 |
Normalization of homogeneous approximations of symmetric affine control systems with two controls SY Ignatovich Journal of dynamical and control systems 17, 1-48, 2011 | 6 | 2011 |
Verification of feedback linearizability conditions for control systems of the class C1 KV Sklyar, SY Ignatovich, GM Sklyar 2017 25th Mediterranean Conference on Control and Automation (MED), 163-168, 2017 | 4 | 2017 |
On linearizability conditions for non-autonomous control systems K Sklyar, S Ignatovich Advanced, Contemporary Control: Proceedings of KKA 2020—The 20th Polish …, 2020 | 3 | 2020 |
Linearizability of Multi-Control Systems of the Class C1 by Additive Change of Controls KV Sklyar, GM Sklyar, SY Ignatovich Operator theory, operator algebras, and matrix theory, 359-370, 2018 | 3 | 2018 |
Explicit solution of the time-optimal control problem for one nonlinear three-dimensional system SY Ignatovich Вісник Харківського національного університету імені ВН Каразіна. Серія …, 2016 | 3 | 2016 |