Fliess operators on Lp spaces: convergence and continuity

@article{Gray2002FliessOO,
  title={Fliess operators on Lp spaces: convergence and continuity},
  author={W. Steven Gray and Yuan Wang},
  journal={Systems & Control Letters},
  year={2002},
  volume={46},
  pages={67-74}
}
Fliess operators as input-output mappings are particularly useful in a number of fundamental problems concerning nonlinear realization theory. In the classical analysis of these operators, certain growth conditions on the coefficients in their series representations insure uniform and absolute convergence, provided each admissible input is uniformly bounded by some fixed upperbound. In some emerging applications of this theory, however, it is more natural to consider other classes of inputs. In… CONTINUE READING
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