Skip navigation
Universidade Federal da Bahia |
Repositório Institucional da UFBA
Use este identificador para citar ou linkar para este item: https://repositorio.ufba.br/handle/ri/7967
Tipo: Artigo de Periódico
Título: (A, B)-invariant polyhedral sets of linear discrete-time systems
Título(s) alternativo(s): Journal of Optimization Theory and Applications
Autor(es): Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
Autor(es): Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
Abstract: The problem of confining the trajectory of a linear discrete-time system in a given polyhedral domain is addressed through the concept of (A, B)-invariance. First, an explicit characterization of (A, B)-invariance of convex polyhedra is proposed. Such characterization amounts to necessary and sufficient conditions in the form of linear matrix relations and presents two major advantages compared to the ones found in the literature: it applies to any convex polyhedron and does not require the computation of vertices. Such advantages are felt particularly in the computation of the supremal (A, B)-invariant set included in a given polyhedron, for which a numerical method is proposed. The problem of computing a control law which forces the system trajectories to evolve inside an (A, B)-invariant polyhedron is treated as well. Finally, the (A, B)-invariance relations are generalized to persistently disturbed systems.
Palavras-chave: Linear systems
linear programming
convexity
polyhedra
invariance
URI: http://www.repositorio.ufba.br/ri/handle/ri/7967
Data do documento: 1999
Aparece nas coleções:Artigo Publicado em Periódico (PPGEE)

Arquivos associados a este item:
Arquivo Descrição TamanhoFormato 
Dórea.pdf
  Restricted Access
821,65 kBAdobe PDFVisualizar/Abrir Solicitar uma cópia
Mostrar registro completo do item Visualizar estatísticas


Os itens no repositório estão protegidos por copyright, com todos os direitos reservados, salvo quando é indicado o contrário.