Robust synchronization of nonfragile control of complex dynamical network with stochastic coupling and time-varying delays
Fehrs Adu-Gyamfi, Yuhua Cheng, Chun Yin · Advances in Science Technology and Engineering Systems Journal · 2019
This paper explores the problem of robust synchronization of complex dynamical network with stochastic coupling and time-varying delays through the application of nonfragile control.A well defined Lyapunov Krasovskii functional is established and by employing the widely acknowledged extended Jensen's integral inequality and the Bernoulli's distribution sequences, the stochastic nature of network coupling is modeled which entails the occurrence of randomness in the controller gain uncertainties are presented.Sufficient delay dependent conditions are given for the purposes of synchronization.Additionally, a nonfragile controller is designed based on linear matrix inequalities (LMIs).Two numerical examples are finally given to exhibit the effectiveness and usefulness of the proposed theoretical results.