Article citationsMore>>

Nishida, G., Yamakita, M. and Luo, Z. (2007) Virtual Lagrangian Construction Method for Infinite Dimensional Systems with Homotopy Operators. In: Allgüwer, F., Fleming, P., Kokotovic, P., Kurzhanski, A.B., Kwakernaak, H., Rantzer, A., et al., Eds., Lagrangian and Hamiltonian Methods for Nonlinear Control 2006, Lecture Notes in Control and Information Sciences, Vol. 366, Springer, Berlin, 75-86.
http://dx.doi.org/10.1007/978-3-540-73890-9_5

has been cited by the following article:

• TITLE: Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows

  AUTHORS: Gou Nishida

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.3 No.11, November 27, 2015

  ABSTRACT: 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.