Almost Sure Stabilization for Feedback Controls of Regime-Switching Linear Systems With a Hidden Markov Chain

@article{Bercu2009AlmostSS,
  title={Almost Sure Stabilization for Feedback Controls of Regime-Switching Linear Systems With a Hidden Markov Chain},
  author={Bernard Bercu and François Dufour and Gang George Yin},
  journal={IEEE Transactions on Automatic Control},
  year={2009},
  volume={54},
  pages={2114-2125}
}
This work is devoted to the almost sure stabilization of adaptive control systems that involve an unknown Markov chain. The control system displays continuous dynamics represented by differential equations and discrete events given by a hidden Markov chain. In the previous investigation on this class of problems, averaging criteria were used, which provides only the system behavior in some expectation sense. A closer scrutiny of the system behavior necessarily requires the consideration of… CONTINUE READING
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