Title :
A Hamiltonian framework for interconnected physical systems
Author :
Dalsmo, M. ; van der Schaft, A.J.
Author_Institution :
ABB Corp. Res., Billingstad, Norway
Abstract :
In the present paper we elaborate on the underlying Hamiltonian structure of interconnected energy-conserving physical systems. We show how these systems can be described as implicit generalized Hamiltonian systems (with and without external inputs) using the notion of a generalized Dirac structure. Fundamental mathematical questions concerning the representation and integrability of implicit generalized Hamiltonian systems are addressed.
Keywords :
interconnected systems; nonlinear control systems; nonlinear dynamical systems; Dirac structure; Hamiltonian framework; interconnected energy-conserving physical system; nonlinear dynamics; Aerospace electronics; Integrated circuit interconnections; Jacobian matrices; Manifolds; Mathematical model; Mechanical systems; Object oriented modeling; Modelling; Nonlinear control; Nonlinear dynamics;
Conference_Titel :
Control Conference (ECC), 1997 European
Conference_Location :
Brussels
Print_ISBN :
978-3-9524269-0-6
