摘要：AbstractIn this paper, topology identification of fractional complex networks is investigated. First of all, an important result is obtained, which reveals some special relations between the primitive function and its fractional derivative. Then an auxiliary network consisting of isolated nodes and a regulation mechanism are designed in order that there is no need to check the linear independence condition (LIC) and the identification failure caused by network synchronization can be avoided. By applying inequality techniques, the realizability of topology identification for fractional systems is proved. And then two algorithms are given to identify the unknown parameters in the original network. In order to have more realistic significance, the accuracy function, which is an upper bound of the estimation error between the estimated results and the corresponding unknown parameters, is considered to evaluate the validity of our estimation algorithms. Furthermore, an example is provided to demonstrate the effectiveness of the main results.
关键词：KeywordsFractional calculusComplex networksTopology identificationSynchronizationAdaptive control
