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 |
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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