On the stabilization of a class of bilinear systems
- 1 February 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 37 (2) , 413-420
- https://doi.org/10.1080/00207178308932980
Abstract
In this paper the problem of the stabilization of a class of continuous time bilinear systems, containing the class of the homogeneous ones, is studied, and simple stabiliza-bility conditions are derived, expressed in terms of the stability or stabilizability of some linear or homogeneous bilinear subsystems of the given system. On this basis, it is shown that this problem can be decomposed into subproblems and reduced to the stabilization of homogeneous subsystems of the system, obtained through successive decompositions of it. A sufficient condition for the stabilization of a homogeneous bilinear system is also given.Keywords
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