Under a tensor generalized detailed-balance condition, tensor-coupled flow-conservation systems on hypergraphs have a unique equilibrium with global asymptotic stability via an entropy Lyapunov function, plus sensitivity bounds and local ISS linking spectral gap to robustness.
Convergence analysis using the edge laplacian: Robust consensus of nonlinear multi-agent systems via iss method,
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Stability and Robustness of Tensor-Coupled Flow-Conservation Dynamical Systems on Hypergraphs
Under a tensor generalized detailed-balance condition, tensor-coupled flow-conservation systems on hypergraphs have a unique equilibrium with global asymptotic stability via an entropy Lyapunov function, plus sensitivity bounds and local ISS linking spectral gap to robustness.