Feedback transformations on tori |
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| Authors: | Wijesuriya Dayawansa David Elliott Clyde Martin |
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| Affiliation: | (1) Department of Mathematics, Texas Tech University, 79409 Lubbock, TX, USA;(2) Department of Systems Science and Mathematics, Washington University, 63130 St. Louis, MO, USA |
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| Abstract: | Here we investigate the problem of transforming a nonlinear system on the torusT
n
by using global feedback and global changes of coordinates into an invariant system (i.e., a control system
of whichf andg
i
are (left and right) invariant vector fields whenT
2 is considered as a Lie group). We provide a complete answer whenn=2 and give a sufficient condition and necessary conditions in the more general case. |
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| Keywords: | |
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