The lie algebra of a nonlinear dynamical system and its application to control

International Journal of Systems Science

Volumn 32, Issue 2, 2001, Pages 157-174

  Banks, S P ^a  

^a UNIVERSITY OF SHEFFIELD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; CONTROL THEORY; MATRIX ALGEBRA; MECHANICAL VARIABLES CONTROL; NONLINEAR CONTROL SYSTEMS; SYSTEM STABILITY;

LIE ALGEBRA; NONLINEAR DYNAMICAL SYSTEM;

LINEAR ALGEBRA;

EID: 0035262750     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207720118462     Document Type: Article

References (11)

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2. Banks, S. P., and McCaffrey, D., 1998, Lie algebras, structure of nonlinear systems and chaotic motion. International Journal of Bifurcation and Chaos, 8, 1437-1462.
3. Banks, S. P., 1999, New chaotic systems based on simple Lie algebras. International Journal of Bifurcation and Chaos, 9, 1571-1583.
4. Brauer, F., 1967, Perturbations of nonlinear systems of differential equations, II. Journal of Mathematical Analysis and Applications, 17, 418-434.
5. Helagso, S., 1962, Differential Geometry and Symmetric Spaces (New York: Academic Press).
6. Jacobson, N., 1962, Lie Algebras (New York: Wiley).
7. Knapp, A. W., and Vogan, D. A., Jr, 1995, CohomologicalInduction and Unitary Representations (Princeton University Press).
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9. Sagle, A. A., and Walde, R. E., 1973, Introduction to the Theory of Lie Groups and Lie Algebras (New York: Academic Press).
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11. Varadarahan, S., 1976, Lie Groups, Lie Algebras and their Representations (New York: Wiley).