The classical Cayley-Hamilton theorem is extended to continuous-time linear systems with delays. The matrices of the system with delays satisfy algebraic matrix equations with coefficients of the characteristic polynomial.
@article{bwmeta1.element.bwnjournal-article-amcv15i2p231bwm,
author = {Kaczorek, Tadeusz},
title = {Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {15},
year = {2005},
pages = {231-234},
zbl = {1084.34541},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv15i2p231bwm}
}
Kaczorek, Tadeusz. Extension of the Cayley-Hamilton theorem to continuous-time linear systems with delays. International Journal of Applied Mathematics and Computer Science, Tome 15 (2005) pp. 231-234. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv15i2p231bwm/
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