Abstract
We present how the interconnection of distributed and discrete systems can be realized within the setting of variational principles and Dirac structures on the Lagrangian side. For the distributed system we focus on the case when the configuration space is an infinite-dimensional vector space and the system is subject to boundary energy flow. A key property of our approach is that it systematically extends the canonical variational and symplectic structures of finite and infinite-dimensional Lagrangian and Hamiltonian mechanics.
| Original language | English |
|---|---|
| Pages (from-to) | 286-291 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 58 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2024 |
| Externally published | Yes |
| Event | 8th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2024 - Besancon, France Duration: 10 Jun 2024 → 12 Jun 2024 |
Keywords
- Dirac structure
- Lagrangian systems
- boundary energy flow
- constraints
- distributed systems
- interconnection
- variational principles
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