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Stochastic differential inclusions

, 2006
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Linearization of differential inclusions

Serdica Mathematical Journal, 2023
In 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, Krastanov, Mikhail Ivanov, Ribarska, Nadezhda Kostadinova   +2 more
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Approximation of differential inclusions

Sbornik: Mathematics, 2002
The 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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Stochastic Differential Inclusions

2013
A stochastic differential inclusion is formulated in terms of stochastic differentials of continuous semimartingales. In particular, concepts of strong and weak solutions of the inclusion \[ dx_t\in F(t,x_t)dt+G(t,x_t)dw_t \] are introduced. Here \(F,G:[0,1]\times R^n\to \text{Comp} (R^n)\) are Borel measurable set-valued mappings.
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Differential Inclusions

2023
Piernicola Bettiol, Richard Vinter
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Evolution Integro-Differential Inclusions

Set-Valued and Variational Analysis
In this paper, authors provided existence and uniqueness results of local/global solution for a new evolution inclusion governed by the subdifferential of a function \(\varphi\) perturbed both by a Carathéodory mapping and by an integral forcing term.
Abderrahim Bouach, Tahar Haddad, Lionel Thibault   +2 more
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Measure differential inclusions

2018 IEEE Conference on Decision and Control (CDC), 2018
When 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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One-sided Perron Differential Inclusions

Set-Valued and Variational Analysis, 2013
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Donchev, Tzanko, Lazu, Alina Ilinca, Nosheen, Ammara   +2 more
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ε-approximation of differential inclusions

Proceedings of 1995 34th IEEE Conference on Decision and Control, 1996
For a Lipschitz differential inclusion x ∈ f(x), we give a method to compute an arbitrarily close approimation of Reachf(X0, t) — the set of states reached after time t starting from an initial set X0. For a differential inclusion x ∈ f(x), and any e>0, we define a finite sample graph A∈. Every trajectory φ of the differential inclusion x ∈f(x) is also
Anuj Puri, Vivek Borkar, Pravin Varaiya
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Fuzzy differential inclusions

Journal of Applied Mathematics and Mechanics, 1990
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