Title :
Incrementally port-Hamiltonian systems
Author :
Camlibel, M.K. ; van der Schaft, A.J.
Author_Institution :
Johann Bernoulli Inst. for Math. & Comput. Sci., Univ. of Groningen, Groningen, Netherlands
Abstract :
This paper introduces the new class of incrementally port-Hamiltonian systems. This class can be obtained from standard port-Hamiltonian systems by replacing the composition of the Dirac structure and energy-dissipating relation by a maximal monotone relation. After introducing this new class of systems, we study their compositions and show that incrementally port-Hamiltonian systems are closed under composition. Also, we study existence and uniqueness os state trajectories for such systems as well as an energy-based state re-initialization principle.
Keywords :
nonlinear systems; Dirac structure composition; energy-based state re-initialization principle; energy-dissipating relation; first principles port-based network modeling; incrementally port-Hamiltonian systems; maximal monotone relation; physical systems; uniqueness os state trajectories; Erbium; Friction; Manifolds; Mechanical systems; Standards; Trajectory; Vectors;
Conference_Titel :
Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on
Conference_Location :
Firenze
Print_ISBN :
978-1-4673-5714-2
DOI :
10.1109/CDC.2013.6760262
