Aram V. Arutyunov

According to our database, Aram V. Arutyunov authored at least 38 papers between 2001 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem.

Aram V. Arutyunov, Kirill A. Tsarkov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., November, 2024

Stability of Solutions to Extremal Problems with Constraints Based on λ-Truncations.

Aram V. Arutyunov, Sergey E. Zhukovskiy, Kirill A. Tsarkov

Autom. Remote. Control., 2024

2023

Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions.

Aram V. Arutyunov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., October, 2023

On implicit function theorem for locally Lipschitz equations.

Aram V. Arutyunov, Sergey E. Zhukovskiy

Math. Program., March, 2023

Coincidence Points of Parameterized Generalized Equations with Applications to Optimal Value Functions.

Aram V. Arutyunov, Boris S. Mordukhovich, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2023

2022

Variational Principles and Mean Value Estimates.

Aram V. Arutyunov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2022

Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints.

Aram V. Arutyunov, D. Y. Karamzin, Fernando M. Lobo Pereira

Axioms, 2022

2021

Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings.

Aram V. Arutyunov, Dmitry Karamzin

SIAM J. Optim., 2021

2020

Covering on a Convex Set in the Absence of Robinson's Regularity.

Aram V. Arutyunov, Alexey F. Izmailov

SIAM J. Optim., 2020

A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle.

Aram V. Arutyunov, Dmitry Karamzin

J. Optim. Theory Appl., 2020

Continuous Selections of Solutions for Locally Lipschitzian Equations.

Aram V. Arutyunov, Alexey F. Izmailov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2020

2019

Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces.

Aram V. Arutyunov, Sergey E. Zhukovskiy

SIAM J. Optim., 2019

Caristi-Like Condition and the Existence of Minima of Mappings in Partially Ordered Spaces.

Aram V. Arutyunov, Evgeny S. Zhukovskiy, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2019

2018

A remark on the continuity of the measure Lagrange multiplier in state constrained optimal control problems.

Aram V. Arutyunov, Dmitry Karamzin, Fernando M. Lobo Pereira

Proceedings of the 57th IEEE Conference on Decision and Control, 2018

2017

Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition.

Aram V. Arutyunov, Dmitry Karamzin, Fernando M. Lobo Pereira

Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016

Some Properties and Applications of the Hausdorff Distance.

Aram V. Arutyunov, S. A. Vartapetov, Sergey E. Zhukovskiy

J. Optim. Theory Appl., 2016

Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints.

Aram V. Arutyunov, D. Y. Karamzin

J. Glob. Optim., 2016

Second order conditions in optimal control problems with equality constraints.

Aram V. Arutyunov, Ilya A. Shvartsman, Zuhra T. Zhukovskaya

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2015

Stability Theorems for Estimating the Distance to a Set of Coincidence Points.

Aram V. Arutyunov, Evgeniy R. Avakov, Sergey E. Zhukovskiy

SIAM J. Optim., 2015

On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems.

Aram V. Arutyunov, D. Y. Karamzin

SIAM J. Control. Optim., 2015

State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality.

Aram V. Arutyunov, D. Y. Karamzin, Fernando M. Lobo Pereira

J. Optim. Theory Appl., 2015

2014

Application of covering mappings to constrained dynamic systems and differential inclusions.

Aram V. Arutyunov, Fernando M. Lobo Pereira, Sergey E. Zhukovskiy

Proceedings of the 13th European Control Conference, 2014

2012

On two questions of optimization theory concerning quadratic mappings.

Aram V. Arutyunov

Optim. Lett., 2012

On the extension of classical calculus of variations and optimal control to problems with discontinuous trajectories.

Aram V. Arutyunov, Dmitry Karamzin, Fernando M. Lobo Pereira

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

2011

The Maximum Principle for Optimal Control Problems with State Constraints by R.V. Gamkrelidze: Revisited.

Aram V. Arutyunov, D. Y. Karamzin, Fernando M. Lobo Pereira

J. Optim. Theory Appl., 2011

2008

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications.

Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov

Math. Program., 2008

2007

Directional Regularity and Metric Regularity.

Aram V. Arutyunov, Evgeniy R. Avakov, Alexey F. Izmailov

SIAM J. Optim., 2007

2006

Second-Order Necessary Optimality Conditions for Problems Without A Priori Normality Assumptions.

Aram V. Arutyunov, Fernando M. Lobo Pereira

Math. Oper. Res., 2006

Directional Stability Theorem and Directional Metric Regularity.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Oper. Res., 2006

2005

A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints.

Aram V. Arutyunov, D. Y. Karamzin, Fernando M. Lobo Pereira

SIAM J. Control. Optim., 2005

Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Oper. Res., 2005

Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions.

Aram V. Arutyunov, Fernando M. Lobo Pereira

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004

Abnormal equality-constrained optimization problems: sensitivity theory.

Aram V. Arutyunov, Alexey F. Izmailov

Math. Program., 2004

2003

Nondegenerate necessary conditions for optimal impulsive control problems with state constraints.

Aram V. Arutyunov, Dmitry Karamzin, Fernando Pereira

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

First and second order necessary conditions of optimality for impulsive control problems.

Aram V. Arutyunov, Vladimir A. Dykhta, Fernando Pereira

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

Positive Definiteness of Forms: Numerical Identification.

Aram V. Arutyunov, Alexey F. Izmailov

SIAM J. Control. Optim., 2002

Second order necessary conditions of optimality for impulsive control systems.

Aram V. Arutyunov, Milojica Jacimovic, Fernando M. Lobo Pereira

Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001

Second order necessary conditions of optimality for impulsive control problems.

Aram V. Arutyunov, Milojica Jacimovic, F. Pereira

Proceedings of the 6th European Control Conference, 2001