Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group-Reference-Cited by-同舟云学术

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Stability and Analytic Solutions of an Optimal Control Problem on the Schrödinger Lie Group

Published:2016-01-01 Issue:1 Volume:14 Page:549-558
ISSN:2391-5471
Container-title:Open Physics
language:
Short-container-title:

Author:

Ene Remus-Daniel¹,Pop Camelia¹,Petrişor Camelia¹

Affiliation:

1. 1University Politehnica Timişoara, Department of Mathematics, 300006 Timişoara, Romania

Abstract

AbstractThe nonlinear stability and the existence of the periodic solutions for an optimal control problem on the Schrödinger Lie group are discussed. The analytic solutions via optimal homotopy asymptotic method of the dynamics and numerical simulations are presented, too.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0060/pdf

Reference28 articles.

1. The Optimal Homotopy Asymptotic Method: Engineering Applications;Springer Verlag, Heidelberg,2015

2. Multiple Lie-Poisson structures, reduction and geometric phases for the Maxwell-Bloch traveling wave equations;J. Nonlinear Sci,1992

3. Scale and conformal transformations in galilean-covariant field theory;Phys. Rev.,1972

4. Equivalence of energy methods in stability theory;Journal of Mathematical Physics,2007

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