1. Incrementally port-Hamiltonian systems
- Author
-
M.K. Camlibel and A.J. van der Schaft
- Subjects
Discrete mathematics ,Algebra ,Nonlinear system ,Class (set theory) ,Monotone polygon ,Dirac (software) ,Structure (category theory) ,State (functional analysis) ,Uniqueness ,Mathematics ,Hamiltonian system - 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.
- Published
- 2013