Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/103568
Type: Artigo de evento
Title: Weak Controllability And Weak Stabilizability Concepts For Linear Systems With Markov Jump Parameters
Author: Costa E.F.
Manfrim A.L.P.
Do Val J.B.R.
Abstract: 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 detectability ensure that the state estimator is mean square stable. Illustrative examples are included. © 2006 IEEE.
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Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-34047193566&partnerID=40&md5=7962174b39c1dca01f275979399df97c
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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