A Generator-Based Framework for Cyclic Stability in Stochastic Systems
Abstract
This work presents a generator-based framework for analyzing cyclic stability in continuous-time stochastic dynamical systems. By combining Lyapunov functions with infinitesimal generators, we characterize a bounded invariant region in which stochastic fluctuations persist without destabilizing the system. The framework is illustrated through classical stochastic processes and provides a minimal, self-contained reference for stability analysis under persistent noise.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Stability and Controllability of Differential Equations
Gene Regulatory Network Analysis
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 January 2026
- Language
- EN
- Document type
- Preprint