In this paper, the port-representation of conservation laws is extended to a wider class of symmetries, the infinite-dimensional symmetry expressed by the bi-Hamiltonian system. It is known from Noether's theorem that a conservation law is associated with an invariant property called a symmetry. In certain cases, the symmetry appears in a system as a hidden infinite-dimensional structure. Such a structure can be defined by using a recursive operator consisting of a Hamiltonian pair and is called a bi-Hamiltonian structure. The bi-Hamiltonian structure induces a hierarchical set of conservation laws. This concept can be used for reducing a system possessing a bi-Hamiltonian structure to simpler port-representations of the conservation laws. Finally, a boundary observer for symmetry destruction is shown.
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