Passivity and synchronisation of complex dynamical networks with multiple derivative couplings

Abstract

Two network models with multiple derivative couplings and different dimensions of output and input vectors are investigated in this paper. The problem of passivity for the proposed network models is analysed by utilising some inequality techniques and Lyapunov functional method, and several synchronisation conditions for complex dynamical networks with multiple derivative couplings (CDNMDC) are given. Moreover, by employing adaptive state feedback control strategy, some sufficient conditions for guaranteeing passivity and synchronisation of CDNMDC are obtained. In the end, we give two examples to verify the effectiveness of the results.

Keywords:

• Passivity
• synchronisation
• adaptive control
• complex networks
• multiple derivative couplings

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China under Grants 61773285 and 11501411, the Program for Innovative Research Team in University of Tianjin (No. TD13-5032).