An Algorithm to Discretize One-Dimensional Distributed Port Hamiltonian Systems

DOI10.1007/978-3-540-73890-9_4zbMath1137.93023OpenAlexW117050636MaRDI QIDQ5436760

Alessandro Macchelli, Luca Bassi, Claudio Melchiorri

Publication date: 17 January 2008

Published in: Lagrangian and Hamiltonian Methods for Nonlinear Control 2006 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-73890-9_4

zbMATH Keywords

Stokes-Dirac structurediscretization for distributed port-Hamiltonian systems

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Hamilton's equations (70H05)

Related Items (3)

Stability and passivity preserving Petrov-Galerkin approximation of linear infinite-dimensional systems ⋮ A port-Hamiltonian approach to modeling the structural dynamics of complex systems ⋮ Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct

Cites Work

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• Hamiltonian formulation of distributed-parameter systems with boundary energy flow
• L\(_2\) gain and passivity techniques in nonlinear control.
• Hamiltonian discretization of boundary control systems
• On Representations and Integrability of Mathematical Structures in Energy-Conserving Physical Systems
• Modeling and Control of the Timoshenko Beam. The Distributed Port Hamiltonian Approach
• Control by interconnection of mixed port Hamiltonian systems

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