Finite-time stabilization for Markov jump systems governed by deterministic switches

@article{Zhao2014FinitetimeSF,
  title={Finite-time stabilization for Markov jump systems governed by deterministic switches},
  author={Chongzhong Zhao and Xiaoli Luan and Fei Liu},
  journal={IFAC Proceedings Volumes},
  year={2014},
  volume={47},
  pages={11123-11128}
}
Abstract The problem of controller synthesis in a fixed time interval for discrete-time switching Markov jump systems is dealt with in this paper. Compared with the existing results, the new proposed stabilization conditions are obtained by permitting the stochastic Lyapunov energy function to rise at each switching instant, but the switching signal is constraint by an average dwell time. Finally, the validity of the obtained results is demonstrated with an example. 

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