Publicação

Local dynamics for planar optimal control problems : a complete characterization

Detalhes bibliográficos
Resumo:	This paper presents a complete characterization of the local dynamics for infinite horizon continuous time discounted planar optimal control problems. A local bifurcations' approach is used to determine the local stable- center- and complex-submanifolds over a two-dimensional space defined by a transformation from the primitive parameter space. A local stability theorem and necessary conditions for the existence (and location) of one- and two-dimensional fold and Andronov-Hopf bifurcations are the main results of the paper
Autores principais:	Brito, Paulo
Assunto:	Planar Optimal Control Problems Local Dynamics Bifurcations
Ano:	1997
País:	Portugal
Tipo de documento:	working paper
Tipo de acesso:	acesso aberto
Instituição associada:	Universidade de Lisboa
Idioma:	inglês
Origem:	Repositório da Universidade de Lisboa

Descrição
Resumo:	This paper presents a complete characterization of the local dynamics for infinite horizon continuous time discounted planar optimal control problems. A local bifurcations' approach is used to determine the local stable- center- and complex-submanifolds over a two-dimensional space defined by a transformation from the primitive parameter space. A local stability theorem and necessary conditions for the existence (and location) of one- and two-dimensional fold and Andronov-Hopf bifurcations are the main results of the paper