We consider a nonstationary system of differential-algebraic equations, i.e., the first order ordinary differential equations with variable coefficients and identically singular matrix at the derivative of the unknown vector-valued function. We construct the structural form for the perturbed system and obtain sufficient conditions for the robust (complete, differential, R-) controllability of such systems of index 1 and 2.
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Translated from Problemy Matematicheskogo Analiza96, 2019, pp. 13-22.
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Petrenko, P.S. Robust Controllability of Nonstationary Differential-Algebraic Equations with Unstructured Uncertainty. J Math Sci 239, 123–134 (2019). https://doi.org/10.1007/s10958-019-04297-8
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DOI: https://doi.org/10.1007/s10958-019-04297-8