Topology Detection for Output-Coupling Weighted Complex Dynamical Networks with Coupling and Transmission Delays

Topology detection for output-coupling weighted complex dynamical networks with two types of time delays is investigated in this paper. Different from existing literatures, coupling delay and transmission delay are simultaneously taken into account in the output-coupling network. Based on the idea of the state observer, we build the drive-response system and apply LaSalle’s invariance principle to the error dynamical system of the drive-response system. Several convergent criteria are deduced in the form of algebraic inequalities. Some numerical simulations for the complex dynamical network, with node dynamics being chaotic, are given to verify the effectiveness of the proposed scheme

Topology identification of an uncertain general complex dynamical network

In real-world complex networks, there exists many uncertain information, such as uncertain topological structures and uncertain system parameters. Without question, the topology identification and parameter identification are two traditionally challenging questions in complex networks. Based on the adaptive observers, our approach can identify the topological structures and system parameters of the uncertain complex dynamical networks together. In particular, our method is also very effective for the complex networks with different node dynamics. Moreover, the proposed approach can be used to monitor the online evolution of network topological structures and system parameters. Finally, several typical simulations are used to verify the effectiveness of the proposed approach