Geodesic
Linear differential pursuit game with impulse control and linear integral constraint of controls of players
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 24-39.

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For a linear differential pursuit-evasion game, we propose sufficient termination conditions in the case where one of players applies impulse controls whereas the other applies controls with “linear constraints” of integral type. We indicate methods for finding controls of the pursuer that provide termination of the pursuit in a finite time. Finally, we give examples that illustrate the results obtained.
Keywords: resolving function, impulse control, pursuit, pursuer, evader, linear constraint, terminal set, admissible control, Dirac function. 
@article{INTO_2017_143_a1,
     author = {M. Tukhtasinov},
     title = {Linear differential pursuit game with impulse control and linear integral constraint of controls of players},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {24--39},
     publisher = {mathdoc},
     volume = {143},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_143_a1/}
}
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M. Tukhtasinov. Linear differential pursuit game with impulse control and linear integral constraint of controls of players. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential equations. Mathematical analysis, Tome 143 (2017), pp. 24-39. http://geodesic.mathdoc.fr/item/INTO_2017_143_a1/