Finite-time output impulsive synchronisation of complex dynamic networks with output coupling
Yufei Ye, Wen Qin, Mouquan Shen, Zhihao Zhang, Hany Mohamed Hasanien, Zheng Hong Zhu · International Journal of Systems Science · 2025
This paper is devoted to finite-time output synchronisation for a class of complex networks with output couplings. A composite strategy combining impulsive state control with finite-time output control is applied to achieve finite-time output synchronisation. The non-invertible control input matrix is processed through matrix factorisation. With the help of a finite-time stability lemma and this factorisation, a finite-time output synchronisation criterion is established through a differential inequality with impulsive effect and Lyapunov stability. A numerical simulation is supplied to validate the efficacy of the developed control strategy.