H<sub>∞</sub> Synchronization and Sensitivity Analysis of High-Order Complex Dynamical Networks
In complex dynamical networks, interactions among nodes not only represent binary relationships but also multivariate relationships. This paper investigates H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> 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<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> control theory, this paper proposes sufficient conditions to achieve asymptotic H<inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> synchronization by adding controllers to high-order complex dynamical networks. Numerical simulations validate the feasibility and effectiveness of the proposed theoretical results.
Authors
- Anna Ya Ni
- Lilan Tu (ORCID: https://orcid.org/0000-0001-5768-7104)
- Jia Hu (ORCID: https://orcid.org/0009-0004-7158-2316)
Institutions
- Wuhan University of Science and Technology (CN)
Publication Details
- Published
- 2024-12-27
- DOI
- https://doi.org/10.1109/eiecc64539.2024.10929571
- Primary Topic
- Neural Networks Stability and Synchronization
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China