Geodesic
Estimation of the attainability set for a linear system based on a linear matrix inequality
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 51-55

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The problem considered is the construction of reachability set's internal approximation for a full controllable linear time-invariant system. This approximation is obtained as an intersection of two areas governed by quadratic forms. One of these forms is based on parameters of the system under consideration. The other form is produced by the solution of some linear matrix inequality. The method proposed is illustrated by a numerical example. 
@article{VMUMM_2016_6_a8,
     author = {D. I. Bugrov},
     title = {Estimation of the attainability set for a linear system based on a linear matrix inequality},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {51--55},
     publisher = {mathdoc},
     number = {6},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a8/}
}
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D. I. Bugrov. Estimation of the attainability set for a linear system based on a linear matrix inequality. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2016), pp. 51-55. http://geodesic.mathdoc.fr/item/VMUMM_2016_6_a8/