Geodesic
Differential controllability of linear systems of differential-algebraic equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 320-329

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Linear controllable system of first order ordinary differential equations is considered. The system is unresolved with respect to the derivative of the unknown function and it is identically degenerate in the domain. An arbitrarily high unresolvability index is admitted. Differential controllability of the system is investigated under assumptions that ensure the existence of a global structural form that separates "algebraic" and "differential" subsystems.
Keywords: differential-algebraic equations, differential controllability, full controllability. 
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     author = {Pavel S. Petrenko},
     title = {Differential controllability of linear systems of differential-algebraic equations},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a8/}
}
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Pavel S. Petrenko. Differential controllability of linear systems of differential-algebraic equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 10 (2017) no. 3, pp. 320-329. http://geodesic.mathdoc.fr/item/JSFU_2017_10_3_a8/