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A survey on regularity conditions for state-constrained optimal control problems and the non-degenerate maximum principle
A Arutyunov, D Karamzin - Journal of Optimization Theory and Applications, 2020 - Springer
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 controllability conditions, non …
is presented. The focus is on such issues as regularity and controllability conditions, non …
An indirect method for regular state-constrained optimal control problems in flow fields
This article concerns an indirect method to solve state-constrained optimal control problems.
The dynamics of the controlled system is given by ordinary differential equations …
The dynamics of the controlled system is given by ordinary differential equations …
A Pontryagin Maximum Principle in Wasserstein spaces for constrained optimal control problems
B Bonnet - ESAIM: Control, Optimisation and Calculus of …, 2019 - esaim-cocv.org
In this paper, we prove a Pontryagin Maximum Principle for constrained optimal control
problems in the Wasserstein space of probability measures. The dynamics is described by a …
problems in the Wasserstein space of probability measures. The dynamics is described by a …
Regular path-constrained time-optimal control problems in three-dimensional flow fields
This article concerns a class of time-optimal state constrained control problems with
dynamics defined by an ordinary differential equation involving a three-dimensional steady …
dynamics defined by an ordinary differential equation involving a three-dimensional steady …
Optimal control of the swee** process with a nonsmooth moving set
In this paper we prove a fully nonsmooth Pontryagin maximum principle for optimal control
problems driven by a swee** process with drift ̇x∈f(t,x,u)-N_C(t)(x). The setting we study …
problems driven by a swee** process with drift ̇x∈f(t,x,u)-N_C(t)(x). The setting we study …
On some continuity properties of the measure Lagrange multiplier from the maximum principle for state constrained problems
AV Arutyunov, DY Karamzin - SIAM Journal on Control and Optimization, 2015 - SIAM
The continuity of the Lagrange multiplier μ(t) from the maximum principle for control
problems with state constraints is investigated. It is proved, under certain regularity …
problems with state constraints is investigated. It is proved, under certain regularity …
On a few questions regarding the study of state-constrained problems in optimal control
D Karamzin, FL Pereira - Journal of Optimization Theory and Applications, 2019 - Springer
The article is focused on the investigation of the necessary optimality conditions in the form
of Pontryagin's maximum principle for optimal control problems with state constraints. A …
of Pontryagin's maximum principle for optimal control problems with state constraints. A …
Non-degenerate necessary optimality conditions for the optimal control problem with equality-type state constraints
AV Arutyunov, DY Karamzin - Journal of Global Optimization, 2016 - Springer
In this work, an optimal control problem with state constraints of equality type is considered.
Novelty of the problem formulation is justified. Under various regularity assumptions …
Novelty of the problem formulation is justified. Under various regularity assumptions …
Optimal control of endoatmospheric launch vehicle systems: Geometric and computational issues
In this paper, we develop a geometric analysis and a numerical algorithm, based on indirect
methods, to solve optimal guidance of endoatmospheric launch vehicle systems under …
methods, to solve optimal guidance of endoatmospheric launch vehicle systems under …
On sufficient optimality conditions for multiobjective control problems
This paper is devoted to presenting optimality conditions for the sufficiency of the maximum
principle for multiobjective optimal control problems with nonsmooth data. Such conditions …
principle for multiobjective optimal control problems with nonsmooth data. Such conditions …