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

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)

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 properness of impulsive extension. - Dmitry Karamzin; Valeriano Antunes de Oliveira; Fernando M. Lobo Pereira; Geraldo Nunes Silva (ECC, 2014)

On some extension of optimal control theory. - Dmitry Karamzin; Valeriano Antunes de Oliveira; Fernando M. Lobo Pereira; Geraldo Nunes Silva (Eur. J. Control, 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)

Minimax optimal control problem with state constraints. - Dmitry Karamzin; Valeriano Antunes de Oliveira; Fernando M. Lobo Pereira; Geraldo Nunes Silva (Eur. J. Control, 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)

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)

Comments on Paper "On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints". - Dmitry Karamzin (J. Optim. Theory Appl., 2018)

Path-constrained trajectory time-optimization in a three-dimensional steady flow field. - Roman A. Chertovskih; Dmitry Karamzin; Nathalie T. Khalil; Fernando M. Lobo Pereira (ECC, 2019)

On a Few Questions Regarding the Study of State-Constrained Problems in Optimal Control. - Dmitry Karamzin; Fernando M. Lobo Pereira (J. Optim. Theory Appl., 2019)

Investigation of Quasi-Optimal Motion of a Mobile Robot: the Maximum Principle Based Approach. - Askhat I. Diveev; D. Yu. Karamzin; Fernando M. Lobo Pereira; Elena A. Sofronova (CoDIT, 2020)

Investigation of a perturbation method to solve essentially non-regular time-optimal control problems with state constraints. - Roman A. Chertovskih; Anna Daryina; Askhat I. Diveev; Dmitry Karamzin; Fernando M. Lobo Pereira; Elena A. Sofronova (ECC, 2020)

Regular perturbations to the motion of a three-wheeled mobile robot with the front-wheel drive under restricted state variables. - Roman A. Chertovskih; Anna Daryina; Askhat I. Diveev; Dmitry Karamzin; Fernando M. Lobo Pereira; Elena A. Sofronova (ECC, 2020)

Regular path-constrained time-optimal control problems in three-dimensional flow fields. - Roman A. Chertovskih; Dmitry Karamzin; Nathalie T. Khalil; Fernando M. Lobo Pereira (Eur. J. Control, 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)

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

An Indirect Method for Regular State-Constrained Optimal Control Problems in Flow Fields. - Roman A. Chertovskih; Dmitry Karamzin; Nathalie T. Khalil; Fernando M. Lobo Pereira (IEEE Trans. Autom. Control., 2021)

Some Remarks on the Issue of Normality in State-constrained Optimal Control Problems. - Dmitry Karamzin; Fernando Pereira 005 (CDC, 2022)

Regular approximations of time-optimal motion for a tracked mobile robot travelling in a vector flow field under restricted state variables*. - Fernando M. Lobo Pereira; Roman A. Chertovskih; Anna Daryina; Dmitry Karamzin (CDC, 2022)

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)

The Critical Cone and Second-Order Optimality Conditions for a State-Constrained Optimal Control Problem. - Dmitry Karamzin (NUMTA (1), 2023)

On Higher-Order State Constraints. - Dmitry Karamzin; Fernando M. Lobo Pereira (SIAM J. Control. Optim., 2023)

On the study of higher-order state-constrained control systems *. - Dmitry Karamzin (CoDIT, 2024)

One example of a k-order state-constrained control problem. - Dmitry Karamzin; Aleksandra A. Zhukova (CoDIT, 2024)

On Some Sufficient Condition for Quadraticity of a Degenerate Optimization Problem with Inequality Constraints. - Dmitry Karamzin (OPTIMA, 2024)

A Maximum Principle for a State-Constrained Optimal Control Problem Whose Data is Measurable in the Time-Variable. - Dmitry Karamzin (OPTIMA, 2024)

On regularity conditions in higher-order state-constrained control problems. - D. Yu. Karamzin (J. Comput. Appl. Math., 2024)