Distributed Adaptive Cluster Synchronization for Linearly Coupled Nonidentical Dynamical Systems

This brief studies the cluster synchronization problem for networks of linearly coupled systems where the dynamical system models in different clusters are nonidentical. To ensure scalability and reconfigurability of networks, a distributed adaptive law is proposed to update the intra-cluster coupli...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 69; no. 3; pp. 1193 - 1197
Main Author Liu, Zhongchang
Format Journal Article
LanguageEnglish
Published New York IEEE 01.03.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Adaptive systems
Cluster synchronization
Clusters
Coupling
coupling strength
Couplings
distributed adaptive law
Dynamical systems
Laplace equations
Linear systems
nonidentical systems
Nonlinear dynamical systems
Oscillators
Synchronism
Synchronization
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Summary:This brief studies the cluster synchronization problem for networks of linearly coupled systems where the dynamical system models in different clusters are nonidentical. To ensure scalability and reconfigurability of networks, a distributed adaptive law is proposed to update the intra-cluster coupling strengths. Concretely, each system is required to update its own coupling strength with its cluster members, instead of using a common strength for all systems. The adaptive updating law applied by each system depends on relative states with respective to connected cluster members which are locally available information. Moreover, the parameters involved in the adaptive law of each system allow decentralized off-line computations. Both generic linear systems which are partial-state coupled and nonlinear oscillators which are full-state coupled are considered, respectively.
ISSN:1549-7747
1558-3791
DOI:10.1109/TCSII.2021.3096249