Open AccessStability and Asymptotic Stability of Closed Random Sets
Author(s) -
Ihsan Jabbar Kadhim,
Mohammed Shanan Imran
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1664/1/012049
Subject(s) - stability (learning theory) , random compact set , mathematics , dynamical systems theory , random dynamical system , stability theory , exponential stability , set (abstract data type) , closed set , dynamical system (definition) , limit set , statistical physics , pure mathematics , random element , mathematical analysis , linear dynamical system , random variable , computer science , physics , statistics , linear system , limit (mathematics) , quantum mechanics , nonlinear system , machine learning , programming language
In this paper the concepts of Stability, Asymptotic Stability of Closed Random Sets family in (deterministic) dynamical system are defined in (random) dynamical systems. Also some main result such as uniformly stable, compact asymptotically stable set are proved in random dynamical system.