Abstract
We show under mild assumptions that a composition of internally well-posed, impedance passive (or conservative) boundary control systems through Kirchhoff type connections is also an internally well-posed, impedance passive (resp., conservative) boundary control system. The proof is based on results of Malinen and Staffans [21]. We also present an example of such composition involving Webster's equation on a Y-shaped graph.
| Original language | English |
|---|---|
| Pages (from-to) | 1-19 |
| Number of pages | 19 |
| Journal | Mathematical Control and Related Fields |
| Volume | 3 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
| Externally published | Yes |
Keywords
- Boundary control
- Cauchy problem
- Composition
- Distributed parameter system
- Passive system
- Well-posedness