Sufficient conditions for the conditional stability of trivial solutions for quadratic systems of ordinary differential equations are obtained. These conditions are then used to design linear control laws on the output for a bilinear system of any order. In the case of a homogeneous system, a domain of the conditional stability is also indicated (it is a cone). Some examples are given.
@article{bwmeta1.element.bwnjournal-article-amcv12i4p493bwm,
author = {Belozyorov, Vasiliy},
title = {Design of linear feedback for bilinear control systems},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {493-511},
zbl = {1142.93337},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p493bwm}
}
Belozyorov, Vasiliy. Design of linear feedback for bilinear control systems. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 493-511. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p493bwm/
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