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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 +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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Differential Inclusions for fuzzy maps
Fuzzy Sets and Systems, 2000From the authors abstract: The authors introduce the problems of differential inclusions for fuzzy maps, and prove the existence of solutions to these problems by the continuous selection theorem and fixed point theorems, respectively.
Yuanguo Zhu, Ling Rao
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Measure differential inclusions
2018 IEEE Conference on Decision and Control (CDC), 2018When modeling dynamical systems with uncertainty, one usually resorts to stochastic calculus and, specifically, Brownian motion. Recently, we proposed an alternative approach based on time-evolution of measures, called Measure Differential Equations, which can be seen as natural generalization of Ordinary Differential Equations to measures.
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CHAOS IN NONAUTONOMOUS DIFFERENTIAL INCLUSIONS
International Journal of Bifurcation and Chaos, 2005The existence of a continuum of many chaotic solutions are shown for certain differential inclusions which are small nonautonomous multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems.
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