# 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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