Optimal Control of a Harmonic Oscillator with Parametric Excitation

Optimal Control of a Harmonic Oscillator with Parametric Excitation

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 given position and velocity, to a specified final...

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Bibliographic Details
Main Authors: Dmitrii Kamzolkin, Victor Ilyutko, Vladimir Ternovski
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Mathematics
Subjects:
optimal control
harmonic oscillator
Bellman optimality principle
Pontryagin maximum principle
Online Access:https://www.mdpi.com/2227-7390/12/24/3981
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