Abstract
We present a class of spatially interconnected systems with boundary conditions that have close links with their spatially invariant extensions. In particular well-posedness, stability and performance of the extension imply the same characteristics for the actual, finite extent system. In turn existing synthesis methods for control of spatially invariant systems can be extended to this class. The relation between the two kinds of system is proved using ideas based on the 'Method of Images' of partial differential equations theory and uses symmetry properties of the interconnection as a key tool.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 107-112 |
| Number of pages | 6 |
| Journal | Proceedings of the American Control Conference |
| Volume | 1 |
| State | Published - 2003 |
| Externally published | Yes |
| Event | 2003 American Control Conference - Denver, CO, United States Duration: Jun 4 2003 → Jun 6 2003 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering