9 papers · 1 filter
Linear Feedback Controller for Homogeneous Polynomial Systems
Shaoxuan Cui, Qi Zhao, Guanlin Li +2
This paper studies stabilization and its corresponding closed-loop region-of-attraction (ROA) for homogeneous polynomial dynamical systems whose nonlinear term admits an orthogonal…
Markov Chains and Random Walks with Memory on Hypergraphs: A Tensor-Based Approach
Shaoxuan Cui, Lingfei Wang, Hildeberto Jardon-Kojakhmetov +2
Many complex systems exhibit interactions that depend not only on pairwise connections, but also group structures and memory effects. To capture such effects, we develop a unified…
Global and local observability of hypergraphs
Chencheng Zhang, Hao Yang, Shaoxuan Cui +2
This paper studies observability for non-uniform hypergraphs with inputs and outputs. To capture higher-order interactions, we define a canonical non-homogeneous dynamical system w…
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…
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…
Co-evolutionary control of a class of coupled mixed-feedback systems
Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao
Oscillatory behavior is ubiquitous in many natural and engineered systems, often emerging through self-regulating mechanisms. In this paper, we address the challenge of stabilizing…