# 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 Publication Date: May 20, 2016
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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.

### Keywords

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

•  34H05
•  53D17

### References

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