Results 61 to 70 of about 72,024 (232)

Time-Optimal Control Problem of Two Non-Synchronous Oscillators

Mathematics, 2022
The time-optimal control problem for a system consisting of two non-synchronous oscillators is considered. Each oscillator is controlled with a shared limited scalar control. The objective of the control is to accelerate the oscillatory system to a given
Leonid Berlin, Andrey Galyaev, Pavel Lysenko   +2 more
doaj   +1 more source

Second‐Order Optimality Conditions in a New Lagrangian Formulation for Optimal Control Problems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT It has been shown recently that optimal control problems with the dynamical constraint given by second‐order system admit a regular Lagrangian formulation. This implies that the optimality conditions can be obtained in a new form based on the variational approach.
Michael Konopik, Sigrid Leyendecker, Sofya Maslovskaya, Sina Ober‐Blöbaum, Rodrigo T. Sato Martin de Almagro   +4 more
wiley   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Optimal Control of the Viscous Wave Equation via the Pontryagin Maximum Principle

Numerical Methods for Partial Differential Equations, Volume 42, Issue 3, May 2026.
ABSTRACT A tracking‐type optimal control problem governed by the viscous wave equation with a distributed‐source control and L2$$ {L}^2 $$‐L1$$ {L}^1 $$ control costs is investigated. For this class of PDE‐constrained linear‐convex problems, a Pontryagin maximum principle (PMP) in the PDE setting is derived, and it is shown that the pointwise ...
A. Borzì, S. Roy
wiley   +1 more source

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

Fortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka, Charles Strickland‐Constable, Fridrich Valach   +2 more
wiley   +1 more source

Energy Consumption Optimization in Trajectory Planning for Fuel Cell Hybrid Uavs Based On HMPC

Advanced Robotics Research, Volume 2, Issue 2, April 2026.
The endurance limitation of multirotor drones is a critical challenge. This study adopts a hybrid power system of fuel cells and lithium‐ion batteries. Using Nondominated Sorting Genetic Algorithm II, it integrates trajectory planning with energy management optimization.
Xindi Wang, Jianyang Dong, Yongming Yao, Kaijin Hu, Jianxiong Cui, Yikai Luo, Jiawen Zhang, Shichao Niu   +7 more
wiley   +1 more source

The Optimal Frequency Control Problem of a Nonlinear Oscillator

Mathematics
We study a minimum-time (time-optimal) control problem for a nonlinear pendulum-type oscillator, in which the control input is the system’s natural frequency constrained to a prescribed interval.
Victor Ilyutko, Dmitrii Kamzolkin, Vladimir Ternovski   +2 more
doaj   +1 more source

Macroscopic Market Making Games

Mathematical Finance, Volume 36, Issue 2, Page 352-373, April 2026.
ABSTRACT Building on the macroscopic market making framework as a control problem, this paper investigates its extension to stochastic games. In the context of price competition, each agent is benchmarked against the best quote offered by the others. We begin with the linear case.
Ivan Guo, Shijia Jin
wiley   +1 more source

Optimal Control of a Harmonic Oscillator with Parametric Excitation

Mathematics
This paper addresses the time-optimal control problem for a harmonic oscillator characterized by a time-dependent frequency. The primary objective is to determine the minimal time required to transition the system from an initial state, defined by a ...
Dmitrii Kamzolkin, Victor Ilyutko, Vladimir Ternovski   +2 more
doaj   +1 more source

ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS

Ural Mathematical Journal, 2019
We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy.
Anton O. Belyakov
doaj   +1 more source