TITLE
Optimal Control on Exceptional Lie Group G2 with Kahan Integrator Analysis
ABSTRACT
Study of optimal control of a system on Lie groups has been a very tempting research area for mathematicians and physicist. The matrix Lie groups provide a mathematically rich definition to study variety of control problems. In this paper, controllability of the smallest exceptional Lie group G2 is studied, along with optimal control. Finally, Kahan Integrator is applied on the dynamics of the exceptional Lie group G2.
KEYWORDS
Exceptional Lie group, optimal control, numerical integration
Cite this paper
Archana Tiwari, K.C. Pati. (2019) Optimal Control on Exceptional Lie Group G2 with Kahan Integrator Analysis. International Journal of Mathematical and Computational Methods, 4, 72-78
Copyright © 2019 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0