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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/13838

Title: (A, B)-Invariance conditions of polyhedral domains for continuous-time systems
Other Titles: European Journal of Control
Authors: Dorea, Carlos Eduardo Trabuco
Hennet, J. C.
Keywords: (A,B)-invariance;Constrained systems;Feedback control;Linear systems;Positive invariance
Issue Date: 1999
Publisher: European Journal of Control
Abstract: This paper provides an explicit characterisation of the (A,B)-invariance property of polyhedral sets with respect to linear continuous-time systems. A typical application of the concept of (A,B)-invariance is to investigate the possibility of controlling a system subject to pointwise in time trajectory constraints. Necessary and sufficient conditions for a polyhedron to be (A,B)-invariant are established in the form of linear matrix relations. Some particular conditions of existence of linear state feedback laws are also presented. The study of (A,B)-invariance of polyhedra is then extended to the control of constrained and additively disturbed systems.
Description: Texto completo. Acesso restrito. p. 70–81
URI: http://repositorio.ufba.br/ri/handle/ri/13838
ISSN: 0947-3580
Appears in Collections:Artigos Publicados em Periódicos (PPGEE)

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