Geodesic
Linearization by completely generalized input-output injection
Kybernetika, Tome 35 (1999) no. 6, pp. 793-802

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR Zbl
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.
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
Keywords: linearization of nonlinear systems; input-output injection; exterior differentiation; I or O differential equation structure; observer synthesis 
López Morales, Virgilio; Plestan, F.; Glumineau, A. Linearization by completely generalized input-output injection. Kybernetika, Tome 35 (1999) no. 6, pp. 793-802. http://geodesic.mathdoc.fr/item/KYB_1999_35_6_a10/
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     title = {Linearization by completely generalized input-output injection},
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     pages = {793--802},
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     volume = {35},
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     mrnumber = {1747977},
     zbl = {1274.93061},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_1999_35_6_a10/}
}
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