The next LyonGroningen Seminar is given by Arjan Van der Schaft from the University of Groningen on the 3rd of February at 2pm. Title, Abstract and link are below.
Title: Algebraic constraints in port-Hamiltonian systems
Abstract: Algebraic constraints are ubiquitous in the modeling of complex engineering systems. From a port-based modeling perspective they are encapsulated in the Dirac structure of the port-Hamiltonian formulation. Another way of representing algebraic constraints is by replacing the expression of energy in terms of a Hamiltonian function by a general Lagrangian subspace. I will recall how both types of algebraic constraints can be combined, and how one may convert one type of algebraic constraints into the other; basically by the introduction of Lagrange multipliers. This will be first discussed for linear finite-dimensional port-Hamiltonian systems, and subsequently extended to the nonlinear case. Finally, I will indicate how these ideas can be extended to boundary control port-Hamiltonian systems on a 1-dimensional spatial domain.
Date(s) - 3 Feb 2022
14 h 00 min - 16 h 00 min