Approximation and stabilization of distributed systems by lumped systems

@inproceedings{Anderson2002ApproximationAS,
  title={Approximation and stabilization of distributed systems by lumped systems},
  author={Brian D. O. Anderson},
  year={2002}
}
In this note we study two questions regarding linear time-invariant distributed systems, namely: (1) When can the given system be approximated by a lumped system? (2) When can the given system be stabilized by a lumped system? In each case we obtain a complete answer to the question in terms of the behaviour of the purely atomic parts of the stable numerator and denominator of the plant.