Geometry of Coupled Infinite-Dimensional Systems

Description

In the contribution a possible geometric covariant description for the class of coupled lumped- and distributed-parameter systems is proposed, where especially boundary and coupling conditions as well as (lumped and distributed) system inputs and outputs are taken into account. By apllying differential geometrical methods dynamic systems are associated with suitable intrinsic geometric objects, which reflect their dynamics. In this context the systems equations are supposed to describe (locally) a family of regular fibred submanifolds of some appropriately-constructed manifolds. Moreover, it is shown that the introduced geometric structures are adequate with respect to the first order Lagrange formalism. Several examples are arranged to illustrate the proposed theory.

Period	11 Feb 2009
Event title	unbekannt/unknown
Event type	Conference
Location	AustriaShow on map