Abstract
This paper considers the topology identification issue for fractional complex networks (FCNs) based on the synchronization in finite-time. Firstly, two lemmas with respect to the convergence of a continuous differential function and its Caputo fractional derivative are developed, respectively. Secondly, a fractional auxiliary network, which consists of the isolated chaotic system, is introduced to avoid the requirement for the linear independence condition (LIC). A control protocol with the event-trigger mechanism (ETM) and a adaptive topology observer are designed to achieve the synchronization in finite time and topology identification. In addition, the synchronization conditions in finite time between regulated network and auxiliary network are addressed, and the topology identification is realized under the designed control protocol successfully. Finally, two numerical simulations are provided to illustrate the effectiveness of the proposed scheme and the validity of theoretical results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
