Approximate Reachability Analysis for Linear Discrete Time Systems Using Homothety and Invariance

@inproceedings{Rakovic2008ApproximateRA,
  title={Approximate Reachability Analysis for Linear Discrete Time Systems Using Homothety and Invariance},
  author={Sasa V. Rakovic and Mirko Fiacchini},
  year={2008}
}
This paper introduces a method for approximate reachability, for linear discrete time systems, based on homothety and set invariance. The proposed method utilizes two particular families of sets, more precisely their members, and particular forms of the approximation maps to obtain simple inner and outer approximate reachable sets/tubes. The resulting set–dynamics, induced by the uncertainty set, the underlying dynamics in the state space and the approximation maps, are restricted to these… CONTINUE READING

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