Aram V. Arutyunov

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 20

Top Topics

Karush Kuhn Tucker

Partially Ordered

Nonlinear Programming

Control Problems

Top Venues

J. Optim. Theory Appl.

J. Glob. Optim.

Publications

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)
Aram V. Arutyunov, Sergey E. Zhukovskiy
On implicit function theorem for locally Lipschitz equations. Math. Program. 198 (1) (2023)
Aram V. Arutyunov, Sergey E. Zhukovskiy
Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions. J. Optim. Theory Appl. 199 (1) (2023)
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) (2023)
Aram V. Arutyunov, Sergey E. Zhukovskiy
Variational Principles and Mean Value Estimates. J. Optim. Theory Appl. 193 (1) (2022)
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 (1) (2022)
Aram V. Arutyunov, Dmitry Karamzin
Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings. SIAM J. Optim. 31 (2) (2021)
Aram V. Arutyunov, Alexey F. Izmailov
Covering on a Convex Set in the Absence of Robinson's Regularity. SIAM J. Optim. 30 (1) (2020)
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) (2020)
Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy
Continuous Selections of Solutions for Locally Lipschitzian Equations. J. Optim. Theory Appl. 185 (3) (2020)
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) (2019)
Aram V. Arutyunov, Sergey E. Zhukovskiy
Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces. SIAM J. Optim. 29 (2) (2019)
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)
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)
Aram V. Arutyunov, S. A. Vartapetov, Sergey E. Zhukovskiy
Some Properties and Applications of the Hausdorff Distance. J. Optim. Theory Appl. 171 (2) (2016)
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) (2016)
Aram V. Arutyunov, Ilya A. Shvartsman, Zuhra T. Zhukovskaya
Second order conditions in optimal control problems with equality constraints. CDC (2016)
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) (2015)
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) (2015)
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) (2015)
Aram V. Arutyunov, Fernando M. Lobo Pereira, Sergey E. Zhukovskiy
Application of covering mappings to constrained dynamic systems and differential inclusions. ECC (2014)
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)
Aram V. Arutyunov
On two questions of optimization theory concerning quadratic mappings. Optim. Lett. 6 (5) (2012)
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) (2011)
Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. Math. Program. 114 (1) (2008)
Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov
Directional Regularity and Metric Regularity. SIAM J. Optim. 18 (3) (2007)
Aram V. Arutyunov, Alexey F. Izmailov
Directional Stability Theorem and Directional Metric Regularity. Math. Oper. Res. 31 (3) (2006)
Aram V. Arutyunov, Fernando M. Lobo Pereira
Second-Order Necessary Optimality Conditions for Problems Without A Priori Normality Assumptions. Math. Oper. Res. 31 (1) (2006)
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) (2005)
Aram V. Arutyunov, Alexey F. Izmailov
Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. Math. Oper. Res. 30 (2) (2005)
Aram V. Arutyunov, Fernando M. Lobo Pereira
Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions. CDC/ECC (2005)
Aram V. Arutyunov, Alexey F. Izmailov
Abnormal equality-constrained optimization problems: sensitivity theory. Math. Program. 100 (3) (2004)
Aram V. Arutyunov, Vladimir A. Dykhta, Fernando Pereira
First and second order necessary conditions of optimality for impulsive control problems. CDC (2003)
Aram V. Arutyunov, Dmitry Karamzin, Fernando Pereira
Nondegenerate necessary conditions for optimal impulsive control problems with state constraints. CDC (2003)
Aram V. Arutyunov, Alexey F. Izmailov
Positive Definiteness of Forms: Numerical Identification. SIAM J. Control. Optim. 41 (5) (2002)
Aram V. Arutyunov, V. Jacimovic, Fernando M. Lobo Pereira
Second order necessary conditions of optimality for impulsive control systems. CDC (2002)
Aram V. Arutyunov, V. Jacimovic, F. Pereira
Second order necessary conditions of optimality for impulsive control problems. ECC (2001)