Geodesic
On the stability of solutions of systems ordinary quadratic differential equations on cone
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 3-24 
S. A. Volkova. On the stability of solutions of systems ordinary quadratic differential equations on cone. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 3-24. http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a1/
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     title = {On the stability of solutions of systems ordinary quadratic differential equations on cone},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The new sufficient conditions of a conditional stability of the trivial solution of a system of the ordinary quadratic differential equations are obtained. For the homogeneous system a domains of unlocal stability are also indicated (it will be cones). Then this domain is used for design of piecewise linear (discontinuous) control lawes on output for a bilinear control system of any order. Thus a system closed by such discontinuous feed-back becomes globally stable in the Lyapunuv sense for all the state space. The examples are given.