Author(s)

Gou Nishida

Department of Mechanical and Environmental Informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology, Tokyo, Japan.

This paper presents a system representation that can be applied to the description of the interaction between systems connected through common boundaries. The systems consist of partial differential equations that are first order with respect to time, but spatially higher order. The representation is derived from the instantaneous multisymplectic Hamiltonian formalism; therefore, it possesses the physical consistency with respect to energy. In the interconnection, particular pairs of control inputs and observing outputs, called port variables, defined on the boundaries are used. The port variables are systematically introduced from the representation.

Symplectic Structure, Dirac Structure, Hamiltonian Systems, Passivity, Partial Differential Equations, Nonlinear Systems

Nishida, G. (2015) Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows. Journal of Applied Mathematics and Physics, 3, 1472-1490. doi: 10.4236/jamp.2015.311174.