Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/81630
Type: Artigo de periódico
Title: OPTIMALITY ON HOMOGENEOUS SPACES, AND THE ANGLE SYSTEM ASSOCIATED WITH A BILINEAR CONTROL SYSTEM
Author: Ayala, V
Rodriguez, JC
Martin, LABS
Abstract: Let G be a Lie group. In order to study optimal control problems on a homogeneous space G/H, we identify its cotangent bundle T*G/H as a subbundle of the cotangent bundle of G. Next, this identification is used to describe the Hamiltonian lifting of vector fields on G/H induced by elements in the Lie algebra g of G. As an application, we consider a bilinear control system Sigma in R(2) whose matrices generate sl(2). Through the Pontryagin maximum principle, we analyze the time-optimal problem for the angle system P Sigma defined by the projection of S onto the projective line Sigma(1). We compute some examples, and in particular we show that the bang-bang principle does not need to be true.
Subject: optimal time
Pontryagin maximum principle
bilinear control systems
Cartan-Killing form
real projective line
Country: EUA
Editor: Siam Publications
Rights: aberto
Identifier DOI: 10.1137/080736867
Date Issue: 2009
Appears in Collections:Unicamp - Artigos e Outros Documentos

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