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Asymptotic stabilization of a class of bilinear systems by a variable structure feedback

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Abstract

We consider the problem of stabilization of a homogeneous bilinear system at zero. We assume that the system can be reduced to a form that admits feedback linearization at all points of the phase space outside a set N of measure zero. For such systems, we construct a variable structure feedback solving the stabilization problem under the condition that N is not an invariant set of the closed system.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    O. I. Goncharov

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  1. O. I. Goncharov
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Original Russian Text © O.I. Goncharov, 2011, published in Differentsial’nye Uravneniya, 2011, Vol. 47, No. 11, pp. 1564–1572.

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Goncharov, O.I. Asymptotic stabilization of a class of bilinear systems by a variable structure feedback. Diff Equat 47, 1582–1591 (2011). https://doi.org/10.1134/S001226611111005X

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  • DOI: https://doi.org/10.1134/S001226611111005X

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