An underlying theory of multifunctions in discrete-time set-valued dynamical systems
Abstract
Abstract We study the asymptotic behaviour of discrete time set-valued dynamical systems defined by difference inclusions. Notions as limit sets, invariant or attractors sets are defined in terms of set-valued analysis and relations with different concepts of stable set (in the Lyapunov sense) are established. In this brief paper, we present applications of set-valued analysis to the dynamical system theory and provide a foundational theory in terms of stability analysis.
Fields of Study & Subjects
Stability and Control of Uncertain Systems
Stability and Controllability of Differential Equations
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Journal of Optimization Theory and Applications
- Publisher
- Springer Science and Business Media LLC
- Volume
- 208
- Issue
- 2
- Publication date
- 19 January 2026
- Language
- EN