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Linearization of differential inclusions
Serdica Mathematical Journal, 2023In this paper we extend the approach of Dubovickiĭ and Miljutin for linearization of the dynamics of smooth control systems to a non-smooth setting. We consider dynamics governed by a differential inclusion and we study the Clarke tangent cone to the set of all admissible trajectories starting from a fixed point.
Bivas, Mira Isak +2 more
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Approximation of differential inclusions
Sbornik: Mathematics, 2002The paper consists of two sections corresponding to extensions of results in the papers of \textit{A. I. Bulgakov, A. A. Efremov} and \textit{E. A. Panasenko} [Differ. Equ. 36, 1741--1753 (2000); translation from Differ. Uravn. 36, 1587--1598 (2000; Zbl 0997.34009)] and of \textit{A. I. Bulgakov} and \textit{V. V.
Bulgakov, A. I., Skomorokhov, V. V.
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