A universal example for quantitative semi‐uniform stability
Abstract
Abstract We characterise quantitative semi‐uniform stability for ‐semigroups arising from port‐Hamiltonian systems, complementing recent works on exponential and strong stability. With the result, we present a simple universal example class of port‐Hamiltonian ‐semigroups exhibiting arbitrary decay rates slower than . The latter is based on results from the theory of Diophantine approximation as the decay rates will be strongly related to approximation properties of irrational numbers by rationals given through cut‐offs of continued fraction expansions.
Fields of Study & Subjects
Stability and Control of Uncertain Systems
Control and Stability of Dynamical Systems
Advanced Control Systems Optimization
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 113
- Issue
- 2
- Publication date
- 1 February 2026
- Language
- EN