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

Hamiltonian Representation of Higher Order Partial Differential Equations with Boundary Energy Flows
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摘要 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. 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.
作者 Gou Nishida
出处 《Journal of Applied Mathematics and Physics》 2015年第11期1472-1490,共19页 应用数学与应用物理(英文)
关键词 SYMPLECTIC STRUCTURE Dirac STRUCTURE HAMILTONIAN SYSTEMS PASSIVITY Partial Differential Equations Nonlinear SYSTEMS Symplectic Structure Dirac Structure Hamiltonian Systems Passivity Partial Differential Equations Nonlinear Systems
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