# Locally positive nonlinear systems

International Journal of Applied Mathematics and Computer Science (2003)

- Volume: 13, Issue: 4, page 505-509
- ISSN: 1641-876X

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topKaczorek, Tadeusz. "Locally positive nonlinear systems." International Journal of Applied Mathematics and Computer Science 13.4 (2003): 505-509. <http://eudml.org/doc/207662>.

@article{Kaczorek2003,

abstract = {The notion of locally positive nonlinear time-varying linear systems is introduced. Necessary and sufficient conditions for the local positiveness of nonlinear time-varying systems are established. The concept of local reachability in the direction of a cone is introduced, and sufficient conditions for local reachability in the direction of a cone of this class of nonlinear systems are presented.},

author = {Kaczorek, Tadeusz},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {local reachability in the direction of a cone; nonlinear system; time-varying; local positiveness; time-varying nonlinear system; locally positive locally reachable linear approximation},

language = {eng},

number = {4},

pages = {505-509},

title = {Locally positive nonlinear systems},

url = {http://eudml.org/doc/207662},

volume = {13},

year = {2003},

}

TY - JOUR

AU - Kaczorek, Tadeusz

TI - Locally positive nonlinear systems

JO - International Journal of Applied Mathematics and Computer Science

PY - 2003

VL - 13

IS - 4

SP - 505

EP - 509

AB - The notion of locally positive nonlinear time-varying linear systems is introduced. Necessary and sufficient conditions for the local positiveness of nonlinear time-varying systems are established. The concept of local reachability in the direction of a cone is introduced, and sufficient conditions for local reachability in the direction of a cone of this class of nonlinear systems are presented.

LA - eng

KW - local reachability in the direction of a cone; nonlinear system; time-varying; local positiveness; time-varying nonlinear system; locally positive locally reachable linear approximation

UR - http://eudml.org/doc/207662

ER -

## References

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