Search Results - "Karamzin, Dmitry"
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A Survey on Regularity Conditions for State-Constrained Optimal Control Problems and the Non-degenerate Maximum Principle
Published in Journal of optimization theory and applications (01-03-2020)“…A survey on the theory of maximum principle for state-constrained optimal control problems is presented. The focus is on such issues as regularity and…”
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Maximum Principle and Second-Order Optimality Conditions in Control Problems with Mixed Constraints
Published in Axioms (01-02-2022)“…This article concerns the optimality conditions for a smooth optimal control problem with an endpoint and mixed constraints. Under the normality assumption,…”
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Comments on Paper “On the Relation Between Two Approaches to Necessary Optimality Conditions in Problems with State Constraints”
Published in Journal of optimization theory and applications (01-10-2018)“…This Forum Note concerns the question of necessary optimality conditions in optimal control problems subject to state constraints. Some critical remarks about…”
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An Indirect Method for Regular State-Constrained Optimal Control Problems in Flow Fields
Published in IEEE transactions on automatic control (01-02-2021)“…This article concerns an indirect method to solve state-constrained optimal control problems. The dynamics of the controlled system is given by ordinary…”
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On a Few Questions Regarding the Study of State-Constrained Problems in Optimal Control
Published in Journal of optimization theory and applications (01-01-2019)“…The article is focused on the investigation of the necessary optimality conditions in the form of Pontryagin’s maximum principle for optimal control problems…”
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Some Estimates for the Jump of the Derivative of the Lagrange Multiplier Function in Optimal Control Problems with Second-order State Constraints
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2024)“…The optimal control problem for a nonlinear dynamic system of a cascade type with endpoint and irregular pointwise state constraints (the so-called state…”
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On the study of higher-order state-constrained control systems
Published in 2024 10th International Conference on Control, Decision and Information Technologies (CoDIT) (01-07-2024)“…In this work, control systems with higher-order state constraints and related control problems are studied. Such dynamical control systems are of a…”
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Conference Proceeding -
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One example of a k-order state-constrained control problem
Published in 2024 10th International Conference on Control, Decision and Information Technologies (CoDIT) (01-07-2024)“…This work is aimed at the study of optimal control problems with higher-order state constraints. These are due to multi-level dynamical control systems of…”
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Conference Proceeding -
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Minimax optimal control problem with state constraints
Published in European journal of control (01-11-2016)“…In this article, nondegenerate necessary conditions of optimality are derived and discussed for the so-called “minimax” optimal control problems with state…”
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On some extension of optimal control theory
Published in European journal of control (01-11-2014)“…Some problems of Calculus of Variations do not have solutions in the class of classic continuous and smooth arcs. This suggests the need of a relaxation or…”
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Some Remarks on the Issue of Normality in State-constrained Optimal Control Problems
Published in 2022 IEEE 61st Conference on Decision and Control (CDC) (06-12-2022)“…A conventional optimal control problem subject to state constraints is investigated. The controllability matrix is presented and the normality condition is…”
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Conference Proceeding -
12
Regular approximations of time-optimal motion for a tracked mobile robot travelling in a vector flow field under restricted state variables
Published in 2022 IEEE 61st Conference on Decision and Control (CDC) (06-12-2022)“…The time-optimal motion for a tracked mobile robot in the presence of state constraints and a vector flow field is examined. The difficulty of the considered…”
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Conference Proceeding -
13
An indirect numerical method for a time-optimal state-constrained control problem in a steady two-dimensional fluid flow
Published in 2018 IEEE/OES Autonomous Underwater Vehicle Workshop (AUV) (01-11-2018)“…This article concerns the problem of computing solutions to optimal control problems with state constraints and whose trajectory is also affected by known flow…”
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Conference Proceeding -
14
Path-constrained trajectory time-optimization in a three-dimensional steady flow field
Published in 2019 18th European Control Conference (ECC) (01-06-2019)“…This work concerns a specific indirect method to solve an optimal control problem with state constraints in which the dynamics are driven by an ordinary…”
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Conference Proceeding -
15
A remark on the continuity of the measure Lagrange multiplier in state constrained optimal control problems
Published in 2018 IEEE Conference on Decision and Control (CDC) (01-12-2018)“…The article is focused on the necessary optimality condition in the form of Pontryagin's maximum principle for state constrained problems. A certain refinement…”
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Conference Proceeding -
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A Short Survey on Measure-Driven Optimal Control Problems
Published in 2018 13th APCA International Conference on Automatic Control and Soft Computing (CONTROLO) (01-06-2018)“…In the middle of the last century, space exploration raised the need to solve rocket space navigation and control problems in which the jumps of state…”
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Conference Proceeding -
17
Investigation of second-order optimality conditions for impulsive control problems under the Frobenius condition
Published in 2017 IEEE 56th Annual Conference on Decision and Control (CDC) (01-12-2017)“…In this work impulsive control problems are investigated in that case in which matrix G that appears in the dynamics multiplying vector-valued control measure…”
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Conference Proceeding -
18
Regular perturbations to the motion of a three-wheeled mobile robot with the front-wheel drive under restricted state variables
Published in 2020 European Control Conference (ECC) (01-05-2020)“…The time-optimal motion of a three-wheeled mobile robot with the front-wheel drive in the presence of a state constraint given by the unit circle is…”
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Conference Proceeding -
19
Investigation of a perturbation method to solve essentially non-regular time-optimal control problems with state constraints
Published in 2020 European Control Conference (ECC) (01-05-2020)“…A general time-optimal control problem in the presence of state constraints is investigated. From the application point of view, the relevance of this article…”
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Conference Proceeding -
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Regular path-constrained time-optimal control problems in three-dimensional flow fields
Published 11-07-2019“…European Journal of Control, Vo. 56, 2020, pp. 98-106 This article concerns a class of time-optimal state constrained control problems with dynamics defined by…”
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