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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {S. A. Volkova},
     title = {On the stability of solutions of systems ordinary quadratic differential equations on cone},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {3--24},
     year = {2005},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a1/}
}
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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/