Design of sampled-data controllers for the synchronization of complex dynamical networks under controller attacks

Advances in Difference Equations

Ju H. Park¹  Tae H. Lee² 

[1] 0000 0001 0674 4447, grid.413028.c, Nonlinear Dynamics Group, Department of Electrical Engineering, Yeungnam University, Gyeongsan, Republic of Korea;0000 0004 0470 4320, grid.411545.0, Division of Electronic Engineering, Chonbuk National University, Jeonju, Republic of Korea;

关键词: Complex network;    Synchronization;    Sampled-data control;    Controller attack;   

DOI  :  10.1186/s13662-019-2124-2

来源: publisher

【 摘 要 】

This paper addresses the design problem of sampled-data controllers for the synchronization of complex dynamical networks under controller attack. Some discontinuous Lyapunov functionals and zero equation are employed to deal with a sampled-data pattern. Due to the limited access of networks to hackers, cyber-attacks on the controller are considered randomly occurring and are described as an attack function which is nonlinear but assumed to be certain known conditions. The designing conditions for sampled-data controllers against cyber-attack are developed in terms of linear matrix inequality (LMI) by using Lyapunov theory and some novel inequalities. Finally, a numerical example is given to prove the usefulness of the proposed method.

【 授权许可】

CC BY