Local Positive Reachability of Nonlinear Continuous-Time Systems

@article{Bartosiewicz2016LocalPR,
  title={Local Positive Reachability of Nonlinear Continuous-Time Systems},
  author={Zbigniew Bartosiewicz},
  journal={IEEE Transactions on Automatic Control},
  year={2016},
  volume={61},
  pages={4217-4221}
}
Local positive reachability of positive nonlinear continuous-time systems is investigated. It is shown that the system is locally positively reachable from the origin if and only if in some neighborhood of the origin, for each subface of the nonnegative cone of the state space there is a control value such that the vector field corresponding to this control value is tangent to the subface and nonzero. This is a natural generalization of a characterization of positive reachability of positive… CONTINUE READING

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