Non-minimal factorization of nonlinear systems: The observable case

Asher Ben-Artzi; J. William Helton; Hugo J. Woerdeman

doi:10.1080/00207179608921884

Non-minimal factorization of nonlinear systems: The observable case

Asher Ben-Artzi, J. William Helton, Hugo J. Woerdeman

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

Minimal factorizations of nonlinear systems have been studied earlier. Here, non-minimal factorizations of nonlinear systems are studied for the case where the product contains no extra non-observable states (‘observable factorizations’). A description for all such factorizations is given in terms of invariant foliations of the system and its inverse. The results are applied to the special cases of stable factorizations (coprime).

Original language	English
Pages (from-to)	1069-1104
Number of pages	36
Journal	International Journal of Control
Volume	63
Issue number	6
DOIs	https://doi.org/10.1080/00207179608921884
State	Published - 1 Mar 1996

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10.1080/00207179608921884

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Non-minimal factorization of nonlinear systems: The observable case

Abstract

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