Results 51 to 60 of about 7,836 (185)

Superintegrability of Sub-Riemannian Problems on Unimodular 3D Lie Groups [PDF]

open access: yes, 2014
Left-invariant sub-Riemannian problems on unimodular 3D Lie groups are considered. For the Hamiltonian system of Pontryagin maximum principle for sub-Riemannian geodesics, the Liouville integrability and superintegrability are ...
Mashtakov, Alexey P., Sachkov, Yuri L.
core   +1 more source

Geometric optimal control of the contrast imaging problem in Nuclear Magnetic Resonance

open access: yes, 2012
The objective of this article is to introduce the tools to analyze the contrast imaging problem in Nuclear Magnetic Resonance. Optimal trajectories can be selected among extremal solutions of the Pontryagin Maximum Principle applied to this Mayer type ...
Bonnard, B.   +5 more
core   +3 more sources

Stochastic maximum principle for optimal control of a class of nonlinear SPDEs with dissipative drift

open access: yes, 2015
We prove a version of the stochastic maximum principle, in the sense of Pontryagin, for the finite horizon optimal control of a stochastic partial differential equation driven by an infinite dimensional additive noise.
Fuhrman, Marco, Orrieri, Carlo
core   +1 more source

The Pontryagin Maximum Principle for Infinite-Horizon Optimal Controls [PDF]

open access: yes, 2003
this paper (motivated by recent works on optimization of long-term economic growth) suggests some further developments in the theory of first-order necessary optimality conditions for problems of optimal control with infinite time horizons.
Aseev, S.M., Kryazhimskiy, A.V.
core  

Pontryagin’s maximum principle for constrained impulsive control problems

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov A.V.   +2 more
openaire   +4 more sources

An experimental study of the efficiency of optimal control for lifting machines [PDF]

open access: yes, 2019
The article is devoted to the synthesis of optimal speed performance control, in which the Pontryagin maximum principle and the phase-plane method are used to search for switching points of the relay control function.
Anishchenko, Galina   +4 more
core  

Caratheodory-Equivalence, Noether Theorems, and Tonelli Full-Regularity in the Calculus of Variations and Optimal Control

open access: yes, 2002
We study, in a unified way, the following questions related to the properties of Pontryagin extremals for optimal control problems with unrestricted controls: i) How the transformations, which define the equivalence of two problems, transform the ...
Torres, Delfim F. M.
core   +3 more sources

Optimal Control Problem Solution with Phase Constraints for Group of Robots by Pontryagin Maximum Principle and Evolutionary Algorithm

open access: yesMathematics, 2020
A numerical method based on the Pontryagin maximum principle for solving an optimal control problem with static and dynamic phase constraints for a group of objects is considered.
Askhat Diveev   +2 more
doaj   +1 more source

Generalized splines in ℝn and optimal control [PDF]

open access: yes, 2006
We give a new time-dependent definition of spline curves in ℝn, which extends a recent definition of vector-valued splines introduced by Rodrigues and Silva Leite for the time-independent case.
Rodrigues, R.C., Torres, D.F.M.
core   +1 more source

Time Optimal Hybrid Sliding Mode-PI Control for an Autonomous Underwater Robot

open access: yesInternational Journal of Advanced Robotic Systems, 2008
This paper presents an underwater robot control system using combination principle among sliding mode control (SMC), Pontryagin maximum principle and linear PI control.
Theerayuth Chatchanayuenyong   +1 more
doaj   +2 more sources

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