Work

Two applications of geometric optimal control to the dynamics of spin particle

Year: 2013

Type: preprint

Abstract: The purpose of this article is to present the application of methods from geometric optimal control to two problems in the dynamics of spin particles. First, we consider the saturation problem for a single spin system and second, the control of a linear chain of spin particles with Ising couplings. For both problems the minimizers are parameterized using Pontryagin Maximum Principle and the optimal solution is found by a careful analysis of the corresponding equations.

Source: HAL

Authors: Bonnard, Bernard, Chyba, Monique

Institutions: Université de Bourgogne, Institut de Mathématiques de Bourgogne, MCTAO: Mathématiques pour le Contrôle, le Transport et leurs Applications, University of Hawaii System

Language: English

Topic: Control and Stability of Dynamical Systems

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4290052257

Cites:

Cited by: 1

Related to: 10