On the observer canonical form for Nonlinear Time-Delay Systems

Abstract : Necessary and sufficient geometric conditions for the equivalence of a nonlinear time-delay system with one output, under bicausal change of coordinates and output transformation, to a linear weakly observable time-delay system up to output injection are given. These conditions are derived through the use of the Extended Lie Bracket operator recently introduced in the literature for dealing with time-delay systems. The results presented show how this operator is useful in the analysis of this class of nonlinear systems.
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Claudia Califano, Luis-Alejandro Marquez Martinez, Claude Moog. On the observer canonical form for Nonlinear Time-Delay Systems. 18th IFAC World Congress, Aug 2011, Milano, Italy. ⟨hal-00584322⟩

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