Geodesic
Controllability of sum linear systems
Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 79-84

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For two linear systems $S_1$ and $S_2$ described by ordinary matrix difference equations with disjoint sets of solutions $M_1$ and $M_2$ we define the (disjoint) sum system, the set of whose solutions is the sum of $M_1$ and $M_2$. We obtain a controllability criterion for the sum system in the form of conditions on the coefficients of $S_1$ and $S_2$.
Keywords: linear difference equations, sum systems, disjunctive systems, controllability. 
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     author = {A. A. Lomov},
     title = {Controllability of sum linear systems},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {79--84},
     publisher = {mathdoc},
     volume = {13},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a7/}
}
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A. A. Lomov. Controllability of sum linear systems. Sibirskij žurnal industrialʹnoj matematiki, Tome 13 (2010) no. 2, pp. 79-84. http://geodesic.mathdoc.fr/item/SJIM_2010_13_2_a7/