An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems
International Journal of Applied Mathematics and Computer Science (2006)
- Volume: 16, Issue: 1, page 141-145
- ISSN: 1641-876X
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topKaczorek, Tadeusz. "An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems." International Journal of Applied Mathematics and Computer Science 16.1 (2006): 141-145. <http://eudml.org/doc/207771>.
@article{Kaczorek2006,
abstract = {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.},
author = {Kaczorek, Tadeusz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {Cayley-Hamilton theorem; nonlinear; extension; time-varying system},
language = {eng},
number = {1},
pages = {141-145},
title = {An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems},
url = {http://eudml.org/doc/207771},
volume = {16},
year = {2006},
}
TY - JOUR
AU - Kaczorek, Tadeusz
TI - An extension of the Cayley-Hamilton theorem for nonlinear time-varying systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2006
VL - 16
IS - 1
SP - 141
EP - 145
AB - 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.
LA - eng
KW - Cayley-Hamilton theorem; nonlinear; extension; time-varying system
UR - http://eudml.org/doc/207771
ER -
References
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