Abstract
We outline a research program in control theory, whose goal is to characterize local properties of systems in terms of Lie bracket configurations, and we illustrate it by carrying out part of the analysis for time-optimal control in the plane, for systems with a scalar control that enters linearly.
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References
Lobry, C., Controlabilité des Systèmes Non Linéaires, SIAM J. Control 8 (1970), pp. 573–605.
Sussmann, H. J., Lie brackets and time-optimal control in the plane, to appear.
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© 1982 Springer-Verlag
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Sussmann, H.J. (1982). Time-optimal control in the plane. In: Hinrichsen, D., Isidori, A. (eds) Feedback Control of Linear and Nonlinear Systems. Lecture Notes in Control and Information Sciences, vol 39. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0006833
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DOI: https://doi.org/10.1007/BFb0006833
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