System-theoretic properties of sampled-data representations of nonlinear systems obtained via Taylor-Lie series Academic Article uri icon


  • It is possible to obtain a sampled-data representation of a nonlinear dynamic system under zero-order hold using Taylor-Lie series. Within the context of Taylor-Lie series theory, explicit formulae for the resulting discrete-time system are derived in terms of the system Lie derivatives. The effect of sampling on systemtheoretic properties, such as equilibrium properties, relative order, stability, zero dynamics and minimum-phase characteristics, is examined, revealing the natural and transparent way in which the use of Taylor-Lie series permeates the relevant theoretical aspects. The results derived are also illustrated in two chemical engineering examples. 1997 Taylor and Francis Ltd.

published proceedings


author list (cited authors)

  • Kazantzis, N., & Kravaris, C.

citation count

  • 56

complete list of authors

  • Kazantzis, N||Kravaris, C

publication date

  • January 1997