Geodesic
Numerical construction of attainability domains for systems with impulse control
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 93-94 
A. N. Sesekin. Numerical construction of attainability domains for systems with impulse control. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 93-94. http://geodesic.mathdoc.fr/item/IIMI_2002_2_a25/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The report deals with the attainability sets of dynamic systems with impulse integrally bounded controls. Properties of such sets are indicated. To construct the attainability set, a numerical algorithm based on approximation of the admissible controls set by linear combinations of Dirac's delta-functions is offered.

[1] Sesekin A. N., “O mnozhestvakh razryvnykh reshenii nelineinykh differentsialnykh uravnenii”, Izvestiya vuzov. Matematika, 1994, no. 6, 83–89 | MR | Zbl

[2] Zavalishchin S. T., Sesekin A. N., Dynamic Impulse Systems. Theory and Applications, Kluwer Academic Publishers, The Netherlands, 1997, 268 pp. | MR | Zbl