Banks, S. P. The Lie algebra of a nonlinear dynamical system and its application to control. (English) Zbl 1175.93097 Int. J. Syst. Sci. 32, No. 2, 157-174 (2001). Summary: Using a recently introduced Lie algebra associated with a nonlinear system, several new results in dynamical systems and control theory are obtained. In particular, we show that the solutions carry the structure of the associated Lie group. A number of stability and boundedness results are given and a generalization of classical modal control is developed. Cited in 1 Document MSC: 93C10 Nonlinear systems in control theory PDFBibTeX XMLCite \textit{S. P. Banks}, Int. J. Syst. Sci. 32, No. 2, 157--174 (2001; Zbl 1175.93097) Full Text: DOI Link