Stabilization of Markovian systems via probability rate synthesis and output feedback

Feng, June, Lam, James and Shu, Zhan (2010) Stabilization of Markovian systems via probability rate synthesis and output feedback. IEEE Transactions on Automatic Control, 55, (3), 773-777. (doi:10.1109/TAC.2010.2040499).


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This technical note is concerned with the stabilization problem of Markovian jump linear systems via designing switching probability rate matrices and static output-feedback gains. A novel necessary and sufficient condition is established to characterize the switching probability rate matrices that guarantee the mean square stability of Markovian jump linear systems. Based on this, a necessary and sufficient condition is provided for the existence of desired controller gains and probability rate matrices. Extensions to the polytopic uncertain case are also provided. All the conditions are formulated in terms of linear matrix inequalities with some equality constraints, which can be solved by two modified cone complementarity linearization algorithms. Examples are given to show the effectiveness of the proposed method

Item Type: Article
Digital Object Identifier (DOI): doi:10.1109/TAC.2010.2040499
ISSNs: 0018-9286 (print)
1558-2523 (electronic)
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions : Faculty of Engineering and the Environment > Engineering Sciences > Electro-Mechanical Research Group
ePrint ID: 199715
Accepted Date and Publication Date:
March 2010Published
Date Deposited: 19 Oct 2011 14:03
Last Modified: 31 Mar 2016 13:45

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