Geodesic
On the solvability of a degenerate hybrid system
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 90-97

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We consider a discrete linear-continuous system with constant coefficients, which is not resolved with respect to the derivative of the continuous component of the unknown function. The analysis is essentially based on the methodology for studying degenerate systems of ordinary differential equations. We construct an equivalent structural form, introduce the concept of consistent initial data, and prove necessary and sufficient conditions for the solvability of the initial problem for the system considered.
Keywords: hybrid system, differential-algebraic equation, solvability
Mots-clés : consistent data. 
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     author = {P. S. Petrenko},
     title = {On the solvability of a degenerate hybrid system},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {90--97},
     publisher = {mathdoc},
     volume = {196},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_196_a7/}
}
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P. S. Petrenko. On the solvability of a degenerate hybrid system. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 90-97. http://geodesic.mathdoc.fr/item/INTO_2021_196_a7/