Online estimation of unknown delays and parameters in uncertain time delayed dynamical complex networks via adaptive observer

In this paper, based on the observer concept and adaptive control approach, we present a general and systematic research on estimating uncertain information in complex networks, which includes the unknown delays, node parameters and network topologies. Specifically, two novel approaches for simultaneous estimation of unknown coupling delays and node parameters, as well as the node delays and topology weights, are proposed and proved in this paper. Several typical examples are presented to verify the effectiveness of these approaches. The numerical results also show that the delay estimation approach is applicable for online monitoring of dynamical complex networks with time-varying delays.