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Some Remarks on Distributed PCHD‐Systems
Author(s) -
Schlacher Kurt,
Ennsbrunner Helmut
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510070
Subject(s) - ode , dissipative system , nonlinear system , distributed parameter system , partial differential equation , mathematics , ordinary differential equation , manifold (fluid mechanics) , control theory (sociology) , dissipation , state space , extension (predicate logic) , computer science , mathematical analysis , differential equation , physics , engineering , control (management) , mechanical engineering , statistics , quantum mechanics , artificial intelligence , thermodynamics , programming language
Port controlled Hamiltonian systems with dissipation are a well known tool for the modeling and the controller design for plants, described by nonlinear ordinary differential equations. This contribution presents a possible extension to systems, described by partial differential equations, where the state manifold and the input space of the ODE case are replaced by new geometric structures. This approach takes dissipative effects into account and shows, how distributed ports can be introduced. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)