A third-order nonlinear control system governing automobile or aircraft motion in a horizontal plane is considered. A theorem on the number and character of switchings of the controls that lead to the boundary of the reachability set is proved. Examples of numerical construction of the reachability set are presented.
Several misprints have been corrected in the paper.
st1_304336_corr.pdf (10 MB).
Patsko V.S., Pyatko S.G., Fedotov A.A. Three-Dimensional Reachability Set for a Nonlinear Control System // Journal of Computer and Systems Sciences International, May 2003, Volume 42, No. 3, pp. 320–328.
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