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