Collaboration and application of the theory of multi-agent system, hypergraph, and optimal control II
| Reference No. | 2026a008 |
|---|---|
| Type/Category | Grant for General Research-Workshop（Ⅱ） |
| Title of Research Project | Collaboration and application of the theory of multi-agent system, hypergraph, and optimal control II |
| Principal Investigator | Shun UCHIDA（Oita University, Faculty of Science and Engineering・Lecturer） |
| Research Period | |
| Keyword(s) of Research Fields | multi-agent system, hypergraph, optimal control theory, nonlinear evolution equation |
| Abstract for Research Report |
A multi-agent system is a system in which multiple members forming a network cooperate to achieve a common goal. It has a wide range of applications in industrial fields, for example, control of drones/robots and communication in sensor networks. On the other hand, a hypergraph is a generalization of a usual discrete graph consisting of points and line segments. A hypergraph is composed of points (nodes) and sets of groups (hyperedges). Hypergraphs are attracting attention as a framework for representing complex multiple relationships and are expected to have applications in engineering, for example, community structures on social media and co-authorship relationships in researchers. At last year's Project Research of Kyushu University (Workshop (Ⅱ)), we planned a workshop on synchronization phenomena models on hypergraphs and optimal control problems appearing in multi-agent systems. We actively discussed their significance for industrial applications. In this year’s workshop, we aim to continue and develop these results by inviting researchers specializing in multi-agent systems, hypergraphs, and the optimal control theory. By sharing the latest results and concerns in each field, we will examine mathematical challenges from new perspectives. By generalizing the network structure in multi-agent systems to hypergraphs, the theory can be applied to objects with more complex relationships than before. Then we can expect to develop the theory into a wider range of models in industry. Furthermore, by discussing optimal control problems which appear in hypergraphs and multi-agent systems in a cross-disciplinary manner, we can promote a collaboration between related fields. In addition, mutual understanding of the concerns of different fields is expected to lead to the creation of new mathematical theories. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Shun UCHIDA（Oita University・Lecturer） Takeshi FUKAO（Ryukoku University・Professor） Masahiro Ikeda（RIKEN/The University of Osaka・Researcher/Associate Professor） |