Guaranteed Cost Control Of Synchronization For Complex Delayed Networks

In recent years, complex networks have received a great deal of attention indiferent fields, such as mathematics, physics, economics, social science, computerscience, chemistry engineering and biology, etc.In this dissertation, an uncertain complex delayed dynamical network modelis presented. The coupling delay and nodes delay are considered in the networks.The synchronization for the complex delayed dynamical networks with uncertaininner coupling configuration is investigated under the quadratic guaranteed costcontrol. Based on Lyapunov-Krasovskii stability theory, sufcient conditions forthe existence of the guaranteed cost control laws are given in terms of linearmatrix inequalities (LMIs). Furthermore, a convex problem is derived to solvethe optimal guaranteed cost control laws. Under these sufcient conditions, thenetworks are globally asymptotical synchronization, and the optimal upper boundis also guaranteed.In the end, numerical examples are given to illustrate the efectiveness andapplicability of the proposed methods.