# Stabilization of second-order systems by non-linear feedback

International Journal of Applied Mathematics and Computer Science (2004)

- Volume: 14, Issue: 4, page 455-460
- ISSN: 1641-876X

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topSkruch, Paweł. "Stabilization of second-order systems by non-linear feedback." International Journal of Applied Mathematics and Computer Science 14.4 (2004): 455-460. <http://eudml.org/doc/207710>.

@article{Skruch2004,

abstract = {A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.},

author = {Skruch, Paweł},

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

keywords = {non-linear feedback; second-order system; stability theory},

language = {eng},

number = {4},

pages = {455-460},

title = {Stabilization of second-order systems by non-linear feedback},

url = {http://eudml.org/doc/207710},

volume = {14},

year = {2004},

}

TY - JOUR

AU - Skruch, Paweł

TI - Stabilization of second-order systems by non-linear feedback

JO - International Journal of Applied Mathematics and Computer Science

PY - 2004

VL - 14

IS - 4

SP - 455

EP - 460

AB - A stabilization problem of second-order systems by non-linear feedback is considered. We discuss the case when only position feedback is available. The non-linear stabilizer is constructed by placing actuators and sensors in the same location and by using a parallel compensator. The stability of the closed-loop system is proved by LaSalle's theorem. The distinctive feature of the solution is that no transformation to a first-order system is invoked. The results of analytic and numerical computations are included to verify the theoretical analysis and the mathematical formulation.

LA - eng

KW - non-linear feedback; second-order system; stability theory

UR - http://eudml.org/doc/207710

ER -

## References

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- Mitkowski W. (2003): Dynamic feedback in LC ladder network. - Bulletin of the Polish Academy of Sciences, Technical Sciences, Vol. 51, No. 2, pp. 173-180. Zbl1053.93036

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