Abstract
In this paper we consider stability of large scale interconnected nonlinear systems that satisfy a strict dissipativity property in terms of local storage and supply functions. Existing compositional stability criteria certify global stability by constructing a global Lyapunov function as the (weighted) sum of local storage functions. We generalize these results by unifying spatial composition, i.e., (weighted) sum of local supply functions is neutral, with temporal composition, i.e., (weighted) sum of supply functions over a time cycle is neutral. Two benchmark examples illustrate the benefits of the developed compositional stability criteria in terms of reducing conservatism and constrained distributed stabilization.
| Original language | English |
|---|---|
| Pages (from-to) | 144-149 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 55 |
| Issue number | 30 |
| DOIs | |
| Publication status | Published - 2022 |
| Event | 25th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2022 - Bayreuthl, Germany Duration: 12 Sept 2022 → 16 Sept 2022 Conference number: 25 |
Keywords
- Dissipation inequalities
- Dissipative systems
- Large scale interconnected systems
- Scalable stability analysis
- Stability of nonlinear systems