Topology Identification of Time-Scales Complex Networks

Yong Pei, Churong Chen and Dechang Pi
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Yong Pei: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
Churong Chen: School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, China
Dechang Pi: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Mathematics, 2022, vol. 10, issue 10, 1-14

Abstract: This paper studies a topology identification problem of complex networks with dynamics on different time scales. Using the adaptive synchronization method, some criteria for a successful estimation are obtained. In particular, by regulating the original network to synchronize with an auxiliary chaotic network, this work further explores a way to avoid the precondition of linear independence. When the adaptive controller fails to achieve the outer synchronization, an impulsive control method is used. In the end, we conclude with three numerical simulations. The results obtained in this paper generalize continuous, discrete with arbitrary time step size and mixed cases.

Keywords: topology identification; complex networks; time scales; dynamical networks (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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