LINEARIZATION OF DIFFERENTIAL INCLUSIONS.

Autor: Bivas, Mira I., Krastanov, Mikhail Iv., Ribarska, Nadezhda K.
Předmět:
Zdroj: Serdica Mathematical Journal; 2023, Vol. 49 Issue 1-3, p187-204, 18p
Abstrakt: In this paper we extend the approach of Dubovickii 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. Our approach is based on the classical Filippovs theorem and on the important property "subtransversality" of two closed sets. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index