The maximum principle for optimal control problems with state constraints by RV Gamkrelidze: revisited AV Arutyunov, DY Karamzin, FL Pereira Journal of Optimization Theory and Applications 149 (3), 474-493, 2011 | 110 | 2011 |
A nondegenerate maximum principle for the impulse control problem with state constraints A Arutyunov, D Karamzin, F Pereira SIAM journal on control and optimization 43 (5), 1812-1843, 2005 | 70 | 2005 |
On constrained impulsive control problems AV Arutyunov, DY Karamzin, FL Pereira Journal of Mathematical sciences 165, 654-688, 2010 | 60 | 2010 |
Pontryagin’s maximum principle for constrained impulsive control problems AV Arutyunov, DY Karamzin, F Pereira Nonlinear Analysis: Theory, Methods & Applications 75 (3), 1045-1057, 2012 | 53 | 2012 |
Necessary conditions of the minimum in an impulse optimal control problem DY Karamzin Journal of Mathematical Sciences 139 (6), 7087-7150, 2006 | 52 | 2006 |
On a generalization of the impulsive control concept: controlling system jumps A Arutyunov, D Karamzin, FL Pereira Discrete and Continuous Dynamical Systems 29 (2), 403-415, 2010 | 46 | 2010 |
A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle A Arutyunov, D Karamzin Journal of Optimization Theory and Applications 184, 697-723, 2020 | 45 | 2020 |
On some continuity properties of the measure Lagrange multiplier from the maximum principle for state constrained problems AV Arutyunov, DY Karamzin SIAM Journal on Control and Optimization 53 (4), 2514-2540, 2015 | 45 | 2015 |
Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints AV Arutyunov, DY Karamzin Journal of Global Optimization 64, 623-647, 2016 | 43 | 2016 |
Regular path-constrained time-optimal control problems in three-dimensional flow fields R Chertovskih, D Karamzin, NT Khalil, FL Pereira European Journal of Control 56, 98-106, 2020 | 35 | 2020 |
On a few questions regarding the study of state-constrained problems in optimal control D Karamzin, FL Pereira Journal of Optimization Theory and Applications 180, 235-255, 2019 | 33 | 2019 |
On the properness of an impulsive control extension of dynamic optimization problems DY Karamzin, VA De Oliveira, FL Pereira, GN Silva ESAIM: Control, Optimisation and Calculus of Variations 21 (3), 857-875, 2015 | 31 | 2015 |
An indirect method for regular state-constrained optimal control problems in flow fields R Chertovskih, D Karamzin, NT Khalil, FL Pereira IEEE Transactions on Automatic Control 66 (2), 787-793, 2020 | 29 | 2020 |
On some extension of optimal control theory DY Karamzin, VA De Oliveira, FL Pereira, GN Silva European Journal of Control 20 (6), 284-291, 2014 | 29 | 2014 |
Maximum principle in problems with mixed constraints under weak assumptions of regularity AV Arutyunov, DY Karamzin, FL Pereira Optimization 59 (7), 1067-1083, 2010 | 28 | 2010 |
Investigation of regularity conditions in optimal control problems with geometric mixed constraints AV Arutyunov, DY Karamzin, FL Pereira, GN Silva Optimization 65 (1), 185-206, 2016 | 20 | 2016 |
An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow R Chertovskih, D Karamzin, NT Khalil, FL Pereira 2018 IEEE/OES Autonomous Underwater Vehicle Workshop (AUV), 1-6, 2018 | 19 | 2018 |
Investigation of controllability and regularity conditions for state constrained problems AV Arutyunov, DY Karamzin, FL Pereira IFAC-PapersOnLine 50 (1), 6295-6302, 2017 | 18 | 2017 |
Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints. AV Arutyunov, DY Karamzin Differential Equations 41 (11), 2005 | 18 | 2005 |
Regular zeros of quadratic maps and their application AV Arutyunov, DY Karamzin Sbornik: Mathematics 202 (6), 783, 2011 | 17 | 2011 |