A self-recovery approach to the probabilistic invariance problem for stochastic hybrid systems

@article{Prandini2012ASA,
  title={A self-recovery approach to the probabilistic invariance problem for stochastic hybrid systems},
  author={Maria Prandini and Luigi Piroddi},
  journal={2012 IEEE 51st IEEE Conference on Decision and Control (CDC)},
  year={2012},
  pages={2096-2101}
}
In this paper, we consider the problem of designing a feedback policy for a discrete time stochastic hybrid system that should be kept operating within some compact set A. To this purpose, we introduce an infinite-horizon discounted average reward function, where a negative reward is associated to the transitions driving the system outside A and a positive reward to those leading it back to A. The idea is that the stationary policy maximizing this reward function will keep the system within A… CONTINUE READING

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