Actas de congresos
Stochastic exponential stability of singular linear systems with Markov jump parameters
Date
2012-08-08Registration in:
Proceedings of the IASTED International Conference on Control and Applications, CA 2012, p. 111-118.
10.2316/P.2012.781-042
2-s2.0-84864750969
Author
Universidade Estadual Paulista (Unesp)
Universidade de São Paulo (USP)
University of Braslia
Institutions
Abstract
This paper deals with exponential stability of discrete-time singular systems with Markov jump parameters. We propose a set of coupled generalized Lyapunov equations (CGLE) that provides sufficient conditions to check this property for this class of systems. A method for solving the obtained CGLE is also presented, based on iterations of standard singular Lyapunov equations. We present also a numerical example to illustrate the effectiveness of the approach we are proposing.
Subjects
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