Orders of Input / Output Di erential Equationsand State Space

  title={Orders of Input / Output Di erential Equationsand State Space},
  author={Dong Wang and Eduardo D. SontagyDepartment},
  • Dong Wang, Eduardo D. SontagyDepartment
  • Published 1994
This paper deals with the orders of input/output equations satissed by nonlinear systems. Such equations represent diierential (or diierence, in the discrete-time case) relations between high-order derivatives (or shifts, respectively) of input and output signals. It is shown that, under analyticity assumptions, there cannot exist equations of order less than the minimal dimension of any observable realization; this generalizes the known situation in the classical linear case. The results… CONTINUE READING

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