Abstract
Some bilinear CDSs in the three-dimensional space can be decomposed into a system involving control in equations for two variables and a differential equation for the third variable not containing the control. Under certain conditions, the investigation of controllability of the system of two equations with control enables us to draw conclusion regarding controllability of the original bilinear CDS in the three-dimensional space. For example, by this method we can investigate the controllability of the CDS governed by the equation.
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Notes
The results of the present section are due to A.V. Babichev.
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© 1991 Springer Science+Business Media Dordrecht
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Butkovskiy, A.G. (1991). Example of Decomposable Bilinear CDS in Three- Dimensional Space*. In: Phase Portraits of Control Dynamical Systems. Mathematics and Its Applications (Soviet Series) , vol 63. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3258-9_37
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DOI: https://doi.org/10.1007/978-94-011-3258-9_37
Publisher Name: Springer, Dordrecht
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Online ISBN: 978-94-011-3258-9
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