Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.04863 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915351865851904 |
|---|---|
| author | McGrane-Corrigan, Blake Moral, Rafael de Andrade Mason, Oliver |
| author_facet | McGrane-Corrigan, Blake Moral, Rafael de Andrade Mason, Oliver |
| contents | We consider the problem of robust diffusive stability (RDS) for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existence of a common diagonal Lyapunov function is sufficient for RDS and highlight how this condition differs from recent results using linear copositive Lyapunov functions. We also present an extension of these results, showing that the weaker condition of \emph{joint} linear copositive function existence is also sufficient for RDS. Finally, we present two results on RDS for extended Leslie matrices arising in population dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_04863 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Observations on robust diffusive stability and common Lyapunov functions McGrane-Corrigan, Blake Moral, Rafael de Andrade Mason, Oliver Dynamical Systems Systems and Control 15B48, 39A30, 92D25 We consider the problem of robust diffusive stability (RDS) for a pair of coupled stable discrete-time positive linear-time invariant (LTI) systems. We first show that the existence of a common diagonal Lyapunov function is sufficient for RDS and highlight how this condition differs from recent results using linear copositive Lyapunov functions. We also present an extension of these results, showing that the weaker condition of \emph{joint} linear copositive function existence is also sufficient for RDS. Finally, we present two results on RDS for extended Leslie matrices arising in population dynamics. |
| title | Observations on robust diffusive stability and common Lyapunov functions |
| topic | Dynamical Systems Systems and Control 15B48, 39A30, 92D25 |
| url | https://arxiv.org/abs/2506.04863 |