Synchronization of Fractional Reaction-Diffusion Complex Networks With Unknown Couplings
Mouquan Shen, Chen Wang, Qing‐Guo Wang, Yonghui Sun, Guangdeng Zong · IEEE Transactions on Network Science and Engineering · 2024
This paper delves into the synchronization of factional uncertain reaction-diffusion complex network. An adaptive scheme composed of time$t$and space$x$is utilized to handle unknown couplings. An output-strict passivity lemma is established by means of Green theorem, Kronecker product and the Lyapunov stability theorem. Different from classical synchronous approaches by constructing controllers, a criterion in terms of linear matrix inequality is built on the passivity lemma, Laplace transform and inverse transform to make the resultant closed-loop system be synchronization. Two examples are provided to validate the validity of the proposed methods.