Abstract:
This paper shows the variational structure of infinite-dimensional homogeneous systems. We rewrite homogeneities with dilations by a unified representation, called catego...Show MoreMetadata
Abstract:
This paper shows the variational structure of infinite-dimensional homogeneous systems. We rewrite homogeneities with dilations by a unified representation, called category theory. First, a homogeneous functor connecting dilations with homogeneities is defined. Next, introducing the variational problem in the jet bundle formalism, we can see that a homogeneous Lagrangian density determines infinite-dimensional homogeneous Euler-Lagrange equations.
Published in: 2009 European Control Conference (ECC)
Date of Conference: 23-26 August 2009
Date Added to IEEE Xplore: 02 April 2015
Print ISBN:978-3-9524173-9-3