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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