A Dissipative Margin Framework for Stability and Structural Transitions in Nonlinear Systems
Abstract
This preprint introduces a scalar dissipative margin framework for nonlinear dynamical systems admitting a coercive–bounded structural decomposition. Within this class, the margin μ parameterizes exponential stability rate, L² robustness bounds, and geometric proximity to instability. Regular and degenerate parametric transitions are characterized via properties of the critical surface μ(θ)=0. A nonlinear example and numerical illustration are provided. This manuscript is a preprint and has not yet undergone peer review.
Fields of Study & Subjects
Control and Stability of Dynamical Systems
Stability and Controllability of Differential Equations
Stability and Control of Uncertain Systems
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 March 2026
- Language
- EN
- Document type
- Preprint