Synchronization of Complex Dynamical Networks with Randomly Coupling via Nonfragile Control
Fehrs Adu-Gyamfi, Yuhua Cheng, Chun Yin, Shouming Zhong · 2018
This paper investigates the synchronization problem of complex dynamical networks (CDNs) with randomly occurring coupling and time-varying delay. A suitable Lyapunov-Krasovskii functional is formulated. Utilizing the well known extended Jensen's integral inequality and the properties of Bernoulli random variables, uncertainties in exchange of information within the networks is modeled. Sufficient delay dependent synchronization conditions are derived and nonfragile controllers proposed in the form of linear matrix inequalities (LMIs). Finally, an example is provided to indicate the effectiveness of our theoretical results.