Abstract
The solution to the Dynamic Block Decoupling Problem (DBDP) we gave in [1] needs both the Structure Algorithm of Hirschorn [5] and the Structure Algorithm of Singh [7], [8]. Using the first one, it is possible to exhibit particular (degenerate) controlled invariant distributions which appear to be crucial in the solution to DBDP. The second one is useful for computing the differential output rank [3], [4], and more generally the structure at infinity, which is also necessary for solving DBDP. In [2] we already gave a new Structure Algorithm which makes possible the computation of the aforementioned distributions as well as the computation of the differential output rank of the considered system. In this paper, we complete the results of [2] for exhibiting particular matrices which also play a key role in the solution to DBDP.
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© 1991 Birkhäuser Boston
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Descusse, J. (1991). The Structure of Nonlinear Systems Revisited. In: Bonnard, B., Bride, B., Gauthier, JP., Kupka, I. (eds) Analysis of Controlled Dynamical Systems. Progress in Systems and Control Theory, vol 8. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-3214-8_15
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DOI: https://doi.org/10.1007/978-1-4612-3214-8_15
Publisher Name: Birkhäuser Boston
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Online ISBN: 978-1-4612-3214-8
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