Controlled synchronization for complex dynamical networks with random delayed information exchanges: A non-fragile approach

This paper studies the controlled synchronization problem for complex dynamical networks based on a non-fragile approach with randomly occurring controller gain fluctuations. In particular, delayed information exchanges among the dynamical nodes are considered, where stochastic variables are utilized to model the randomly occurring phenomena. By constructing the Lyapunov-Krasovskii function, delay-dependent conditions are first derived to achieve the synchronization. Then, the non-fragile feedback synchronization controllers are further designed in terms of the resulting conditions. The effectiveness of the obtained theoretical results is demonstrated by an illustrative example.