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 . We also present an example of such composition involving Webster's equation on a Y-shaped graph.
|Number of pages||19|
|Journal||Mathematical Control and Related Fields|
|Publication status||Published - 2013|
- Boundary control
- Cauchy problem
- Distributed parameter system
- Passive system