Boundary consensus control strategies for fractional-order multi-agent systems with reaction-diffusion terms

Multi-agent systems (MASs), as an essential research topic of distributed artificial intelligence, mainly refer to the coordination behavior among the agents to achieve a global goal. The issue dealing with the security threats of the oil and gas industry has always attracted the attention of numerous researchers. Meanwhile, MASs play a significant role in the security and defense of oil pipelines. This paper mainly studies the spatial boundary control for consensus of fractional-order MASs with reaction–diffusion term. First of all, two kinds of consensus boundary control methods are studied in fractional-order MASs, both based on Neumann boundary conditions. Furthermore, by employing fractional-order inequalities, consensus criteria of the MASs are presented in terms of LMIs. Finally, two numerical examples in the multi-agent simulation environment indicate the effectiveness of the proposed theoretical results.