Geodesic
Linearization by completely generalized input-output injection
Kybernetika, Tome 35 (1999) no. 6, p. [793].

Voir la notice de l'article dans Czech Digital Mathematics Library

The problem addressed in this paper is the linearization of nonlinear systems by generalized input-output (I/O) injection. The I/O injection (called completely generalized I/O injection) depends on a finite number of time derivatives of input and output functions. The practical goal is the observer synthesis with linear error dynamics. The method is based on the I/O differential equation structure. Thus, the problem is solved as a realization one. A necessary and sufficient condition is proposed through a constructive algorithm and is based on the exterior differentiation.
Classification : 93B15, 93B18, 93C10
Mots-clés : linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis 
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     author = {L\'opez Morales, Virgilio and Plestan, F. and Glumineau, A.},
     title = {Linearization by completely generalized input-output injection},
     journal = {Kybernetika},
     pages = {[793]},
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     volume = {35},
     number = {6},
     year = {1999},
     mrnumber = {1747977},
     zbl = {1274.93061},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/item/KYB_1999__35_6_a10/}
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López Morales, Virgilio; Plestan, F.; Glumineau, A. Linearization by completely generalized input-output injection. Kybernetika, Tome 35 (1999) no. 6, p. [793]. https://geodesic-test.mathdoc.fr/item/KYB_1999__35_6_a10/