H∞ Synchronization and Sensitivity Analysis of High-Order Complex Dynamical Networks
Anling Ni, Jia Hu, Lilan Tu · 2024
In complex dynamical networks, interactions among nodes not only represent binary relationships but also multivariate relationships. This paper investigates H∞synchronization of high-order complex dynamical networks with second-order interactions, which are characterized by 2-simplex. Based on Lyapunov stability theory, linear matrix inequality (LMI), and H∞control theory, this paper proposes sufficient conditions to achieve asymptotic H∞synchronization by adding controllers to high-order complex dynamical networks. Numerical simulations validate the feasibility and effectiveness of the proposed theoretical results.