Top Buy Now Summary References
Home
>
Section
>
Chapter

Passivity and Finite-Time Passivity for Multi-Weighted Fractional-Order Complex Networks with Fixed and Adaptive Couplings

Wang, J.-L.; Zhang, X.-X.; Wen, G.; Chen, Y.; Wu, H.-N.

IEEE Transactions on Neural Networks and Learning Systems 34(2): 894-908

2023

ISSN/ISBN: 2162-2388
PMID: 34437069
DOI: 10.1109/tnnls.2021.3103809
Accession: 079310829

Full-Text Article emailed within 0-6 h
Payments are secure & encrypted
Powered by Stripe
Powered by PayPal

Summary
This article presents several new α-passivity and α-finite-time passivity (α-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 α-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 α-output-strict passivity (α-OSP). On the other hand, the α-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 α-FTP for the MWFOCDNs is also illustrated. Finally, two numerical examples with simulation results are used to demonstrate the validity of the obtained criteria.

References

Ma, B.; Tong, D.; Chen, Q.; Zhou, W.; Wei, Y. 2022: Finite-time synchronization of multi-weighted fractional-order coupled neural networks with fixed and adaptive couplings International Journal of Adaptive Control and Signal Processing 36(10): 2364-2382
Liu, C.-G.; Wang, J.-L.; Wu, H.-N. 2023: Finite-Time Passivity for Coupled Fractional-Order Neural Networks with Multistate or Multiderivative Couplings IEEE Transactions on Neural Networks and Learning Systems 34(9): 5976-5987
Wang, J.-L.; Zhao, L.-H.; Wu, H.-N.; Huang, T. 2022: Finite-Time Passivity and Synchronization of Multi-Weighted Complex Dynamical Networks Under PD Control IEEE Transactions on Neural Networks and Learning Systems Pp
Huang, Y.; Chen, W.; Wang, J. 2018: Finite-time passivity of delayed multi-weighted complex dynamical networks with different dimensional nodes Neurocomputing 312: 74-89
Tang, H.-A.; Wang, Y.; Hu, X.; Duan, S.; Wang, L. 2025: Fixed-Time Passivity and Synchronization of Multiweighted Coupled Memristive Neural Networks With Adaptive Couplings IEEE Transactions on Neural Networks and Learning Systems 36(5): 8485-8498
Liu, Y.-P.; Zhao, L.-H.; Shi, Y.-W.; Ren, S.-Y.; Wang, J.-L. 2023: Finite-time passivity and synchronisation of complex networks with multiple output couplings International Journal of Control 96(6): 1470-1490
Zhang, X.-X.; Wang, J.-L.; Huang, Y.-L.; Ren, S.-Y. 2017: Passivity analysis of multi-weighted complex dynamical networks with fixed and switching topologies Chinese Control Conference, CCC: 7695-7700
Zhang, H.; Cheng, R.; Ding, D. 2022: Finite-time synchronization of uncertain fractional-order multi-weighted complex networks with external disturbances via adaptive quantized control Chinese Physics B 31(10): 100504
Wang, J.-L.; Liu, C.-G.; Ren, S.-Y.; Huang, T. 2025: Passivity for undirected and directed fractional-order complex networks with adaptive output coupling Neurocomputing 633: 129774
Thuan, M.V.; Huong, D.C.; Hong, D.T. 2018: New Results on Robust Finite-Time Passivity for Fractional-Order Neural Networks with Uncertainties Neural Processing Letters 50(2): 1065-1078
Zhang, X.; Wang, J.; Huang, Y.; Ren, S. 2018: Analysis and pinning control for passivity of multi-weighted complex dynamical networks with fixed and switching topologies Neurocomputing 275: 958-968
Tang, H.-A.; Li, J.-W.; Hu, X.; Duan, S.; Wang, L. 2025: Fixed-time passivity of multi-weighted coupled memristive Cohen–Grossberg neural networks Neurocomputing 648: 130581
Shafiya, M.; Nagamani, G. 2022: New finite-time passivity criteria for delayed fractional-order neural networks based on Lyapunov function approach Chaos, Solitons and Fractals 158: 112005
Liu, C.; Wang, J. 2021: Passivity of fractional-order coupled neural networks with multiple state/derivative couplings Neurocomputing 455: 379-389
Qian, Y.; Qiao, Y. 2026: Finite-time passivity and synchronisation of multi-weighted coupled memristive neural networks with coupling delays International Journal of Control
Xu, W.; Li, Z.; Zhu, S. 2025: Passivity and robust passivity of inertial memristive neural networks with time-varying delays via non-reduced order method Neural Networks 184: 107042
Wang, D.-Y.; Wang, J.-L.; Ren, S.-Y. 2018: Passivity and Adaptive Control of Complex Dynamical Networks with Multiple Derivative Couplings Chinese Control Conference, CCC 2018-July: 1034-1039
Wei, R.; Chen, Z.; Cao, J. 2026: Fixed-time passivity of coupled spatiotemporal networks with multistate and multiderivative couplings via PD method IEEE Transactions on Industrial Cyber-Physical Systems
Wei, R.; Cao, J.; Alsaadi, F.E. 2023: Fixed-time passivity of coupled quaternion-valued neural networks with multiple delayed couplings Soft Computing 27(13): 8959-8970
Jia, Y.; Wu, H.; Cao, J. 2020: Non-fragile robust finite-time synchronization for fractional-order discontinuous complex networks with multi-weights and uncertain couplings under asynchronous switching Applied Mathematics and Computation 370: 124929