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Weak controllability and weak stabilizability concepts for linear systems with Markov jump parameters

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Autor(es):
Costa, Eduardo F. ; Manfrim, Amanda L. P. ; do Val, Joao B. R. ; IEEE
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12; v. 1-12, p. 2-pg., 2006-01-01.
Resumo

The paper introduces weak controllability and weak stabilizability concepts for discrete-time Markov jump linear system with finite Markov space. We introduce a collection of matrices C that resembles controllability matrices of deterministic linear systems. The collection of matrices C allows us to define a weak controllability concept by requiring that the matrices are full rank, as well as to introduce a weak stabilizability concept that is a dual of the weak detectability concept found in the literature of Markov jump systems. An important feature of the introduced concept is that it generalizes the concept of mean square stabilizability. The role that this concept plays in the scenario of the filtering problem is investigated through case studies, which suggest that weak stabilizability together with mean square delectability ensure that the state estimator is mean square stable. Illustrative examples are included. (AU)

Processo FAPESP: 04/15672-5 - Estabilidade de controladores de custo limitado, estacionarios e aproximativos para sistemas nao lineares.
Beneficiário:Eduardo Fontoura Costa
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 03/06736-7 - Controle e filtragem de sistemas estocásticos markovianos com saltos nos parâmetros
Beneficiário:João Bosco Ribeiro do Val
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 04/04890-1 - Filtragem para sistemas lineares com parametros sujeitos a saltos markovianos.
Beneficiário:Amanda Liz Pacifico Manfrim Perticarrari
Modalidade de apoio: Bolsas no Brasil - Mestrado