Reachable set computation for uncertain time-varying linear systems

  title={Reachable set computation for uncertain time-varying linear systems},
  author={Matthias Althoff and Colas Le Guernic and Bruce H. Krogh},
This paper presents a method for using set-based approximations to the Peano-Baker series to compute overapproximations of reachable sets for linear systems with uncertain, time-varying parameters and inputs. Alternative representations for sets of uncertain system matrices are considered, including matrix polytopes, matrix zonotopes, and interval matrices. For each representation, the computational efficiency and resulting approximation error for reachable set computations are evaluated… CONTINUE READING
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