Stabilization of a nonlinear control system on the Lie group \( SO(3)\times \mathbb{R}^3\times \mathbb{R}^3 \)

Volume 9, Issue 5, pp 2019--2030 http://dx.doi.org/10.22436/jnsa.009.05.08

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Authors

Camelia Petrişor - Department of Mathematics, Politehnica University of Timişoara, Piaţa Victoriei, Nr. 2, 300006-Timişoara, România.

Abstract

The stabilization of some equilibrium points of a dynamical system via linear controls is studied. Numerical integration using Lie-Trotter integrator and its properties are also presented.

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ISRP Style

Camelia Petrişor, Stabilization of a nonlinear control system on the Lie group \( SO(3)\times \mathbb{R}^3\times \mathbb{R}^3 \), Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2019--2030

AMA Style

Petrişor Camelia, Stabilization of a nonlinear control system on the Lie group \( SO(3)\times \mathbb{R}^3\times \mathbb{R}^3 \). J. Nonlinear Sci. Appl. (2016); 9(5):2019--2030

Chicago/Turabian Style

Petrişor, Camelia. "Stabilization of a nonlinear control system on the Lie group \( SO(3)\times \mathbb{R}^3\times \mathbb{R}^3 \)." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2019--2030

Keywords

Optimal control problem
Hamilton-Poisson system
nonlinear stability
numerical integration.

MSC

34H05
53D17

References

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