Non-fragile synchronisation control for complex networks with missing data

Abstract

This article investigates the problem of non-fragile synchronisation control for complex networks with time-varying coupling delay and missing data. A stochastic variable satisfying the Bernoulli random binary distribution is utilised to model the missing data. Based on the Gronwall's inequality, an exponential synchronisation condition is obtained ensuring the exponential mean-square stability of the error system. Then a sufficient condition for designing the non-fragile synchronisation controller is proposed. Finally, a simulation example is given to show the efficiency of the proposed design methods.

Keywords:

• complex dynamical networks
• synchronisation
• non-fragile control
• missing data

Acknowledgements

This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2010-0009373). This work was also supported in part by the National Natural Science Foundation of China under Grants 61174029.