Geodesic
About the time-optimal problem for one class of two-dimensional bilinear controlled systems
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 2 (2010) no. 3, pp. 7-20.

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In the paper one class of bilinear two-dimensional controlled systems is considered. For these systems the bang-bang property of time-optimal control is studied. The bang-bang property is very interesting for applications, because bang-bang controls are very suitable for realization in practice. In the paper some efficient conditions for bang-bang property of time-optimal controls are received. In the capacity as example, it was considered some controlled analog of the L. Richardson model which is well-known in political science.
Keywords: optimal control, bilinear controlled systems, bang-bang property of control, model of L. Richardson. 
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Mikhail S. Nikolskii. About the time-optimal problem for one class of two-dimensional bilinear controlled systems. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 2 (2010) no. 3, pp. 7-20. http://geodesic.mathdoc.fr/item/MGTA_2010_2_3_a1/

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