The authors prove that generically a nonlinear autonomous system on a compact d-dimensional manifold has an observer of dimension 2d + 1. This is a consequence of the result that, for a generic d-dimensional nonlinear system, the state can be reconstructed on the basis of the 2d first derivatives of the output.
CITATION STYLE
Gauthier, J. P., Hammouri, H., & Kupka, I. (1991). Observers for nonlinear systems. In Proceedings of the IEEE Conference on Decision and Control (Vol. 2, pp. 1483–1489). Publ by IEEE. https://doi.org/10.1007/978-3-662-68690-4_7
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