Geodesic
Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 44-55

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We prove the convergence of the sets of attainability of multi-step problems to the sets of attainability of linear differential systems with phase constraints, for a wide class of schemes for approximating differential equations by multi-step equations, and approximating convex phase constraints by polyhedral constraints. 
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     author = {A. V. Lotov},
     title = {Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/}
}
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A. V. Lotov. Convergence of methods of numerical approximation of the sets of attainability for linear differential systems with convex phase constraints. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 1, pp. 44-55. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_1_a4/