We consider a control system of first order ordinary differential equations that is unsolved with respect to the derivative of a sought vector-valued function and is identically degenerate in the domain. We obtain stabilizability conditions for linear systems with vector control and prove the stabilizability by linear approximation of a system with scalar input. Bibliography: 10 titles.
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Translated from Problemy Matematicheskogo Analiza 74, December 2013, pp. 139–156.
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Shcheglova, A.A., Petrenko, P.S. Stabilizability of Solutions to Linear and Nonlinear Differential–Algebraic Equations. J Math Sci 196, 596–615 (2014). https://doi.org/10.1007/s10958-014-1679-4
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DOI: https://doi.org/10.1007/s10958-014-1679-4