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http://acervodigital.unesp.br/handle/11449/73484- Title:
- Stochastic exponential stability of singular linear systems with Markov jump parameters
- Universidade Estadual Paulista (UNESP)
- Universidade de São Paulo (USP)
- University of Braslia
- 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.
- 8-Aug-2012
- Proceedings of the IASTED International Conference on Control and Applications, CA 2012, p. 111-118.
- 111-118
- Markov chain
- Singular systems
- Stability
- Stochastic systems
- Discrete-time singular systems
- Lyapunov equation
- Markov jump parameter
- Numerical example
- Singular linear systems
- Singular system
- Stochastic exponential stabilities
- Sufficient conditions
- Convergence of numerical methods
- Linear systems
- Markov processes
- Lyapunov functions
- http://dx.doi.org/10.2316/P.2012.781-042
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/73484
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