Local asymptotic approximation of non-linear control systems!

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Let g1, …, gm be smooth vector fields on Rd. Using a canonical linear rescaling of time and space coordinates, the control system is transformed into a system, on the same state space, which is arbitrarily close to a nilpotent one. This approximation takes place in the C topology, and is particularly useful for the study of local properties of (+) which depend on the high-order variational structure of the vector fields gi.

Original languageEnglish (US)
Pages (from-to)1331-1336
Number of pages6
JournalInternational Journal of Control
Issue number5
StatePublished - May 1985

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications


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