Abstract
this paper studies the set of points attainable in a specific time from an initial point by a control system. In a first part we restrict to systems for which these sets can be imbedded in manifolds, with the property that the sets have a non empty interior. In a second part we give a technique of enlargement for these systems, reminiscent of the JURDJEVIC-KUPKA technique, but adapted to the exact time accessibility sets. Finally we propose applications, in particular a theorem of strong controllability for series cascade of control polynomial systems. This result generalizes a previous result of KUNITA, whose proof is incorrect. This point is examined.
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© 1988 Springer-Verlag
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Sallet, G. (1988). Strong controllability for series cascade of polynomial control systems. In: Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems. Lecture Notes in Control and Information Sciences, vol 111. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0042210
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DOI: https://doi.org/10.1007/BFb0042210
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