Abstract
Considering a control linear system of differential-algebraic equations with infinitely differentiable coefficients we establish the existence of solutions in the class of Sobolev–Schwartz distributions. The solution is expressed as the sum of a regular generalized function and a singular generalized function. We study controllability with a jump of a regular component and a singular component of the solution.
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Original Russian Text Copyright © 2018 Shcheglova A.A.
Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 59, No. 1, pp. 210–224, January–February, 2018; DOI: 10.17377/smzh.2018.59.118
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Shcheglova, A.A. Controllability of Differential-Algebraic Equations in the Class of Impulse Effects. Sib Math J 59, 166–178 (2018). https://doi.org/10.1134/S0037446618010184
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DOI: https://doi.org/10.1134/S0037446618010184