The classical Cayley-Hamilton theorem is extended to nonlinear time-varying systems with square and rectangular system matrices. It is shown that in both cases system matrices satisfy many equations with coefficients being the coefficients of characteristic polynomials of suitable square matrices. The proposed theorems are illustrated with numerical examples.
@article{bwmeta1.element.bwnjournal-article-amcv16i1p141bwm,
author = {Kaczorek, Tadeusz},
title = {An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {16},
year = {2006},
pages = {141-145},
zbl = {1334.93084},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv16i1p141bwm}
}
Kaczorek, Tadeusz. An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems. International Journal of Applied Mathematics and Computer Science, Tome 16 (2006) pp. 141-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv16i1p141bwm/
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