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Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances
Abstract
This brief investigates globally exponential synchronization for linearly coupled neural networks (NNs) with time-varying delay and impulsive disturbances. Since the impulsive effects discussed in this brief are regarded as disturbances, the impulses should not happen too frequently. The concept of average impulsive interval is used to formalize this phenomenon. By referring to an impulsive delay differential inequality, we investigate the globally exponential synchronization of linearly coupled NNs with impulsive disturbances. The derived sufficient condition is closely related with the time delay, impulse strengths, average impulsive interval, and coupling structure of the systems. The obtained criterion is given in terms of an algebraic inequality which is easy to be verified, and hence our result is valid for large-scale systems. The results extend and improve upon earlier work. As a numerical example, a small-world network composing of impulsive coupled chaotic delayed NN nodes is given to illustrate our theoretical result.
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Cited by
Extended Dissipative State Estimation for Markov Jump Neural Networks With Unreliable Links
Shen, H., Zhu, Y., Zhang, L., & Park, J. H. (2017) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2511196 · Cited by 489
Distributed Synchronization in Networks of Agent Systems With Nonlinearities and Random Switchings
Tang, Y., Gao, H., Zou, W., & Kurths, J. (2013) · IEEE Transactions on Cybernetics · doi:10.1109/tsmcb.2012.2207718 · Cited by 296
Self-citationChen, W.-H., Luo, S., & Zheng, W. X. (2016) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2015.2512849 · Cited by 280
Metadata
- Authors
- Lu, J., Ho, D. W. C., Cao, J., & Kurths, J.
- Venue
- IEEE Transactions on Neural Networks
- Published
- 2011-02
- Volume
- 22
- Issue
- 2
- Pages
- 329-336
- ISSN
- 1045-9227 (ISSN-L)
- 1941-0093
- OpenAlex
- W2156987334
- Cited by
- 392
- References
- 0
- FWCI
- 48.51
- Type
- journal article
- Language
- en
- Open access
- closed
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- Lu, J., Ho, D. W. C., Cao, J., & Kurths, J. (2011). Exponential Synchronization of Linearly Coupled Neural Networks With Impulsive Disturbances. IEEE Transactions on Neural Networks. https://doi.org/10.1109/tnn.2010.2101081
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