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eess.SY2025
On Tensor-based Polynomial Hamiltonian Systems
Shaoxuan Cui, Guofeng Zhang, Hildeberto Jardon-Kojakhmetov +1
It is known that a linear system with a system matrix A constitutes a Hamiltonian system with a quadratic Hamiltonian if and only if A is a Hamiltonian matrix. This provides a stra…
eess.SY2025
Higher-order Laplacian dynamics on hypergraphs with cooperative and antagonistic interactions
Shaoxuan Cui, Chencheng Zhang, Bin Jiang +2
Laplacian dynamics on a signless graph characterize a class of linear interactions, where pairwise cooperative interactions between all agents lead to the convergence to a common s…