Abstract
We derive a sufficient condition for k-contraction in a generalized Lurie system (GLS), that is, the feedback connection of a nonlinear dynamical system and a memoryless nonlinear function. For k=1, this reduces to a sufficient condition for standard contraction. For k=2, this condition implies that every bounded solution of the GLS converges to an equilibrium, which is not necessarily unique. We demonstrate the theoretical results by analyzing k-contraction in a biochemical control circuit with nonlinear dissipation terms.
| Original language | English |
|---|---|
| Pages (from-to) | 3394-3401 |
| Number of pages | 8 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 70 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2025 |
Keywords
- Compound matrices
- Riemannian metric
- contracting systems
- networked systems
- stability
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering