Stochastic stability of semi-Markov jump linear systems: An LMI approach

@article{Huang2011StochasticSO,
  title={Stochastic stability of semi-Markov jump linear systems: An LMI approach},
  author={Ji Huang and Yang Shi},
  journal={IEEE Conference on Decision and Control and European Control Conference},
  year={2011},
  pages={4668-4673}
}
The semi-Markov jump linear system is more general than the classic Markov jump linear system. In the semi-Markov jump linear systems, the governing stochastic process is not a Markov process, but a semi-Markov process. Instead of the exponential distribution for the sojourn-time in each mode in the jump linear system, the Weibull distribution is considered in this paper. By deriving the infinitesimal generator for the Lyapunov function of the semi-Markov jump linear system, the numerically… CONTINUE READING
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