Second order necessary conditions of optimality for impulsive control problems. - Aram V. Arutyunov; Milojica Jacimovic; F. Pereira (ECC, 2001)

Second order necessary conditions of optimality for impulsive control systems. - Aram V. Arutyunov; Milojica Jacimovic; Fernando M. Lobo Pereira (CDC, 2002)

Positive Definiteness of Forms: Numerical Identification. - Aram V. Arutyunov; Alexey F. Izmailov (SIAM J. Control. Optim., 2002)

First and second order necessary conditions of optimality for impulsive control problems. - Aram V. Arutyunov; Vladimir A. Dykhta; Fernando Pereira 005 (CDC, 2003)

Nondegenerate necessary conditions for optimal impulsive control problems with state constraints. - Aram V. Arutyunov; Dmitry Karamzin; Fernando Pereira 005 (CDC, 2003)

Abnormal equality-constrained optimization problems: sensitivity theory. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Program., 2004)

Nondegenerate Necessary Conditions of Optimality for Problems Without Normality Assumptions. - Aram V. Arutyunov; Fernando M. Lobo Pereira (CDC/ECC, 2005)

Sensitivity Analysis for Cone-Constrained Optimization Problems Under the Relaxed Constraint Qualifications. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Oper. Res., 2005)

A Nondegenerate Maximum Principle for the Impulse Control Problem with State Constraints. - Aram V. Arutyunov; D. Yu. Karamzin; Fernando M. Lobo Pereira (SIAM J. Control. Optim., 2005)

Directional Stability Theorem and Directional Metric Regularity. - Aram V. Arutyunov; Alexey F. Izmailov (Math. Oper. Res., 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 Regularity and Metric Regularity. - Aram V. Arutyunov; Evgeniy R. Avakov; Alexey F. Izmailov (SIAM J. Optim., 2007)

Necessary optimality conditions for constrained optimization problems under relaxed constraint qualifications. - Aram V. Arutyunov; Evgeniy R. Avakov; Alexey F. Izmailov (Math. Program., 2008)

The Maximum Principle for Optimal Control Problems with State Constraints by R.V. Gamkrelidze: Revisited. - Aram V. Arutyunov; D. Yu. Karamzin; Fernando M. Lobo Pereira (J. Optim. Theory Appl., 2011)

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 (CDC, 2012)

On two questions of optimization theory concerning quadratic mappings. - Aram V. Arutyunov (Optim. Lett., 2012)

Application of covering mappings to constrained dynamic systems and differential inclusions. - Aram V. Arutyunov; Fernando M. Lobo Pereira; Sergey E. Zhukovskiy (ECC, 2014)

State Constraints in Impulsive Control Problems: Gamkrelidze-Like Conditions of Optimality. - Aram V. Arutyunov; D. Yu. Karamzin; Fernando M. Lobo Pereira (J. Optim. Theory Appl., 2015)

On Some Continuity Properties of the Measure Lagrange Multiplier from the Maximum Principle for State Constrained Problems. - Aram V. Arutyunov; D. Yu. Karamzin (SIAM J. Control. Optim., 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)

Second order conditions in optimal control problems with equality constraints. - Aram V. Arutyunov; Ilya A. Shvartsman; Zuhra T. Zhukovskaya (CDC, 2016)

Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints. - Aram V. Arutyunov; D. Yu. Karamzin (J. Glob. Optim., 2016)

Some Properties and Applications of the Hausdorff Distance. - Aram V. Arutyunov; S. A. Vartapetov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 2016)

Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition. - Aram V. Arutyunov; Dmitry Karamzin; Fernando M. Lobo Pereira (CDC, 2017)

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 (CDC, 2018)

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)

Variational Principles in Analysis and Existence of Minimizers for Functions on Metric Spaces. - Aram V. Arutyunov; Sergey E. Zhukovskiy (SIAM J. Optim., 2019)

Continuous Selections of Solutions for Locally Lipschitzian Equations. - Aram V. Arutyunov; Alexey F. Izmailov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 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)

Covering on a Convex Set in the Absence of Robinson's Regularity. - Aram V. Arutyunov; Alexey F. Izmailov (SIAM J. Optim., 2020)

Square-Root Metric Regularity and Related Stability Theorems for Smooth Mappings. - Aram V. Arutyunov; Dmitry Karamzin (SIAM J. Optim., 2021)

Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints. - Aram V. Arutyunov; D. Yu. Karamzin; Fernando M. Lobo Pereira (Axioms, 2022)

Variational Principles and Mean Value Estimates. - Aram V. Arutyunov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 2022)

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)

On implicit function theorem for locally Lipschitz equations. - Aram V. Arutyunov; Sergey E. Zhukovskiy (Math. Program., 2023)

Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions. - Aram V. Arutyunov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 2023)

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)

Stability of Minima in Constrained Optimization Problems and Implicit Function Theorem. - Aram V. Arutyunov; Kirill A. Tsarkov; Sergey E. Zhukovskiy (J. Optim. Theory Appl., 2024)