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Aram V. Arutyunov
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- affiliation: Peoples' Friendship University of Russia, Moscow, Russia
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2020 – today
- 2024
- [j27]Aram V. Arutyunov, Sergey E. Zhukovskiy, K. A. Tsarkov:
Stability of Solutions to Extremal Problems with Constraints Based on λ-Truncations. Autom. Remote. Control. 85(2) (2024) - 2023
- [j26]Aram V. Arutyunov, Boris S. Mordukhovich, Sergey E. Zhukovskiy:
Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions. J. Optim. Theory Appl. 196(1): 177-198 (2023) - [j25]Aram V. Arutyunov, Sergey E. Zhukovskiy
:
Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions. J. Optim. Theory Appl. 199(1): 112-142 (2023) - [j24]Aram V. Arutyunov, Sergey E. Zhukovskiy:
On implicit function theorem for locally Lipschitz equations. Math. Program. 198(1): 1107-1120 (2023) - 2022
- [j23]Aram V. Arutyunov
, D. Y. Karamzin
, Fernando M. Lobo Pereira
:
Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints. Axioms 11(2): 40 (2022) - [j22]Aram V. Arutyunov, Sergey E. Zhukovskiy
:
Variational Principles and Mean Value Estimates. J. Optim. Theory Appl. 193(1): 21-41 (2022) - 2021
- [j21]Aram V. Arutyunov, Dmitry Karamzin:
Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings. SIAM J. Optim. 31(2): 1380-1409 (2021) - 2020
- [j20]Aram V. Arutyunov, Dmitry Karamzin:
A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle. J. Optim. Theory Appl. 184(3): 697-723 (2020) - [j19]Aram V. Arutyunov, Alexey F. Izmailov
, Sergey E. Zhukovskiy
:
Continuous Selections of Solutions for Locally Lipschitzian Equations. J. Optim. Theory Appl. 185(3): 679-699 (2020) - [j18]Aram V. Arutyunov, Alexey F. Izmailov:
Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM J. Optim. 30(1): 604-629 (2020)
2010 – 2019
- 2019
- [j17]Aram V. Arutyunov
, Evgeny S. Zhukovskiy
, Sergey E. Zhukovskiy
:
Caristi-Like Condition and the Existence of Minima of Mappings in Partially Ordered Spaces. J. Optim. Theory Appl. 180(1): 48-61 (2019) - [j16]Aram V. Arutyunov, Sergey E. Zhukovskiy
:
Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces. SIAM J. Optim. 29(2): 994-1016 (2019) - 2018
- [c10]Aram V. Arutyunov
, Dmitry Karamzin, Fernando M. Lobo Pereira
:
A remark on the continuity of the measure Lagrange multiplier in state constrained optimal control problems. CDC 2018: 49-54 - 2017
- [c9]Aram V. Arutyunov
, Dmitry Karamzin, Fernando M. Lobo Pereira
:
Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition. CDC 2017: 126-132 - 2016
- [j15]Aram V. Arutyunov
, D. Y. Karamzin
:
Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints. J. Glob. Optim. 64(4): 623-647 (2016) - [j14]Aram V. Arutyunov
, S. A. Vartapetov, Sergey E. Zhukovskiy
:
Some Properties and Applications of the Hausdorff Distance. J. Optim. Theory Appl. 171(2): 527-535 (2016) - [c8]Aram V. Arutyunov
, Ilya A. Shvartsman, Zuhra T. Zhukovskaya
:
Second order conditions in optimal control problems with equality constraints. CDC 2016: 1069-1073 - 2015
- [j13]Aram V. Arutyunov
, D. Y. Karamzin
, Fernando M. Lobo Pereira
:
State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality. J. Optim. Theory Appl. 166(2): 440-459 (2015) - [j12]Aram V. Arutyunov
, D. Y. Karamzin
:
On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems. SIAM J. Control. Optim. 53(4): 2514-2540 (2015) - [j11]Aram V. Arutyunov
, Evgeniy R. Avakov
, Sergey E. Zhukovskiy
:
Stability Theorems for Estimating the Distance to a Set of Coincidence Points. SIAM J. Optim. 25(2): 807-828 (2015) - 2014
- [c7]Aram V. Arutyunov
, Fernando M. Lobo Pereira
, Sergey E. Zhukovskiy
:
Application of covering mappings to constrained dynamic systems and differential inclusions. ECC 2014: 1456-1461 - 2012
- [j10]Aram V. Arutyunov
:
On two questions of optimization theory concerning quadratic mappings. Optim. Lett. 6(5): 1009-1015 (2012) - [c6]Aram V. Arutyunov
, Dmitry Karamzin
, Fernando M. Lobo Pereira
:
On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories. CDC 2012: 6406-6411 - 2011
- [j9]Aram V. Arutyunov
, D. Y. Karamzin
, Fernando M. Lobo Pereira
:
The Maximum Principle for Optimal Control Problems with State Constraints by R.V. Gamkrelidze: Revisited. J. Optim. Theory Appl. 149(3): 474-493 (2011)
2000 – 2009
- 2008
- [j8]Aram V. Arutyunov
, Evgeniy R. Avakov
, Alexey F. Izmailov:
Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. Math. Program. 114(1): 37-68 (2008) - 2007
- [j7]Aram V. Arutyunov
, Evgeniy R. Avakov
, Alexey F. Izmailov:
Directional Regularity and Metric Regularity. SIAM J. Optim. 18(3): 810-833 (2007) - 2006
- [j6]Aram V. Arutyunov
, Fernando M. Lobo Pereira
:
Second-Order Necessary Optimality Conditions for Problems Without A Priori Normality Assumptions. Math. Oper. Res. 31(1): 1-12 (2006) - [j5]Aram V. Arutyunov
, Alexey F. Izmailov:
Directional Stability Theorem and Directional Metric Regularity. Math. Oper. Res. 31(3): 526-543 (2006) - 2005
- [j4]Aram V. Arutyunov
, Alexey F. Izmailov:
Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. Math. Oper. Res. 30(2): 333-353 (2005) - [j3]Aram V. Arutyunov
, D. Y. Karamzin
, Fernando M. Lobo Pereira
:
A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints. SIAM J. Control. Optim. 43(5): 1812-1843 (2005) - [c5]Aram V. Arutyunov
, Fernando M. Lobo Pereira
:
Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions. CDC/ECC 2005: 7302-7307 - 2004
- [j2]Aram V. Arutyunov
, Alexey F. Izmailov:
Abnormal equality-constrained optimization problems: sensitivity theory. Math. Program. 100(3): 485-515 (2004) - 2003
- [c4]Aram V. Arutyunov, Dmitry Karamzin, Fernando Pereira:
Nondegenerate necessary conditions for optimal impulsive control problems with state constraints. CDC 2003: 233-238 - [c3]Aram V. Arutyunov
, Vladimir A. Dykhta
, Fernando Pereira
:
First and second order necessary conditions of optimality for impulsive control problems. CDC 2003: 6357-6362 - 2002
- [j1]Aram V. Arutyunov
, Alexey F. Izmailov:
Positive Definiteness of Forms: Numerical Identification. SIAM J. Control. Optim. 41(5): 1567-1585 (2002) - [c2]Aram V. Arutyunov, Milojica Jacimovic, Fernando M. Lobo Pereira:
Second order necessary conditions of optimality for impulsive control systems. CDC 2002: 1576-1581 - 2001
- [c1]Aram V. Arutyunov, Milojica Jacimovic, F. Pereira:
Second order necessary conditions of optimality for impulsive control problems. ECC 2001: 2759-2763
Coauthor Index
aka: Dmitry Karamzin
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