Journal
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
Volume 34, Issue 2, Pages 894-908Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TNNLS.2021.3103809
Keywords
Couplings; Synchronization; Adaptive systems; Roads; Adaptation models; Neural networks; Stochastic processes; -FTP); -passivity; complex dynamical networks (CDNs); fractional-order; multi-weights
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This article presents new concepts of alpha-passivity and alpha-finite-time passivity (alpha-FTP) for fractional-order systems with different input and output dimensions, extending existing definitions and conditions. The study develops sufficient conditions for alpha-passivity of multi-weighted fractional-order complex dynamical networks (MWFOCDNs) with fixed and adaptive couplings, and discusses synchronization based on alpha-output-strict passivity (alpha-OSP). Additionally, alpha-FTP for MWFOCDNs with fixed and adaptive couplings is studied using a designed state feedback controller, and the relationship between finite-time synchronization (FTS) and alpha-FTP is illustrated. The validity of the obtained criteria is demonstrated through numerical examples and simulation results.
This article presents several new alpha-passivity and alpha-finite-time passivity (alpha-FTP) concepts for the fractional-order systems with different input and output dimensions, which are distinct from the concepts for integer-order systems and extend the existing passivity and FTP definitions to some extent. On one hand, we not only develop some sufficient conditions for ensuring the alpha-passivity of the multi-weighted fractional-order complex dynamical networks (MWFOCDNs) with fixed and adaptive couplings, but also discuss the synchronization for the MWFOCDNs based on the alpha-output-strict passivity (alpha-OSP). On the other hand, the alpha-FTP for the MWFOCDNs with fixed and adaptive couplings are also studied on the basis of the designed state feedback controller, and the relationship between finite-time synchronization (FTS) and alpha-FTP for the MWFOCDNs is also illustrated. Finally, two numerical examples with simulation results are used to demonstrate the validity of the obtained criteria.
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