Geodesic
Stabilization of Second-order Systems by Non-linear Feedback
International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 4, pp. 455-460.

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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.
Keywords: second-order system, stability theory, non-linear feedback
Mots-clés : układ drugiego rzędu, teoria stabilności, sterowanie nieliniowe 
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Skruch, P. Stabilization of Second-order Systems by Non-linear Feedback. International Journal of Applied Mathematics and Computer Science, Tome 14 (2004) no. 4, pp. 455-460. http://geodesic.mathdoc.fr/item/IJAMCS_2004_14_4_a1/

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