The Lie algebra of a nonlinear dynamical system and its application to control |
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Authors: | S P Banks |
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Affiliation: | Department of Automatic Control and Systems Engineering , University of Sheffield , Mappin Street, Sheffield, S1 3JD, UK |
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Abstract: | 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. |
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