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Type: Artigo de evento
Title: Equivalent Lmi Constraints: Applications To Discrete-time Mjls And Switched Systems
Author: Fioravanti A.R.
Goncalves A.P.C.
Deaecto G.S.
Geromel J.C.
Abstract: Discrete-time Markov jump linear systems (MJLS) and switched linear systems (SLS) stability, ℍ2 and ℍ∞ performance conditions are very similar. Starting from the fact that MJLS second moment stability can be checked through four different linear matrix inequalities (LMIs), we show how one LMI condition can be obtained from the other. Then, we show the stability of SLS may also be checked through equivalent matrix inequalities and apply the same steps for ℍ2 and ℍ∞ performances, obtaining new conditions for both MJLS and SLS. Special attention is given to the case where the transition probabilities are independent of the mode, which is equivalent to consider the Metzler matrices on switched linear systems framework to have identical columns. © 2012 IEEE.
Rights: fechado
Identifier DOI: 10.1109/CDC.2012.6427115
Date Issue: 2012
Appears in Collections:Unicamp - Artigos e Outros Documentos

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