Hamiltonian structures in optimal control theory
type: Item
instance of: scholarly article
title: Hamiltonian structures in optimal control theory
zbMATH Open document ID: 0997.37026
DOI: 10.1007/BF02269376
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: This paper deals with a systematic exposition of the principal results of the theory of piecewise smooth Hamiltonian systems. The invariant formulation of the maximum principles provides an interpretation of the extremals of a controlled dynamical system as integral trajectories of a piecewise smooth Hamiltonian system. Integrable piecewise smooth systems are proved to be equivalent to smooth integrable systems.
Mathematics Subject Classification ID: 37J05
Mathematics Subject Classification ID: 49K05
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 1431793
zbMATH Keywords: Poisson brackets
zbMATH Keywords: integrable piecewise smooth systems
zbMATH Keywords: piecewise smooth Hamiltonian systems
zbMATH Keywords: maximum principles
zbMATH Keywords: smooth integrable systems
author: A. V. Pukhlikov
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Q3353678
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cites work: Polynomial control systems
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full work available at URL: https://doi.org/10.1007/bf02269376
OpenAlex ID: W2019695629
description: scientific article; zbMATH DE number 1431793