The DOI matches its Crossref record; 37 of the 37 references it cites were found in a registry or an index.
Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control
Abstract
This paper is concerned with the robust exponential synchronization problem of a class of chaotic delayed neural networks with different parametric uncertainties. A novel impulsive control scheme (so-called dual-stage impulsive control) is proposed. Based on the theory of impulsive functional differential equations, a global exponential synchronization error bound together with some new sufficient conditions expressed in the form of linear matrix inequalities (LMIs) is derived in order to guarantee that the synchronization error dynamics can converge to a predetermined level. Furthermore, to estimate the stable region, a novel optimization control algorithm is established, which can deal with the minimum problem with two nonlinear terms coexisting in LMIs effectively. The idea and approach developed in this paper can provide a more practical framework for the synchronization of multiperturbation delayed chaotic systems. Simulation results finally demonstrate the effectiveness of the proposed method.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Linear Matrix Inequalities in System and Control Theory
Boyd, S., El Ghaoui, L., Feron, E., & Balakrishnan, V. (1994) · Society for Industrial and Applied Mathematics eBooks · doi:10.1137/1.9781611970777 · Cited by 21,687
Synchronization in chaotic systems
Pecora, L. M., & Carroll, T. L. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.821 · Cited by 10,625
Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1196 · Cited by 5,431
Theory of Impulsive Differential Equations
Lakshmikantham, V, Bainov, D. D., & Simeonov, P. S. (1989) · WORLD SCIENTIFIC eBooks · doi:10.1142/0906 · Cited by 4,833
The synchronization of chaotic systems
Boccaletti, S., Kurths, J., Osipov, G., Valladares, D. L., & Zhou, C. S. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00137-0 · Cited by 2,764
From Chaos to Order - Methodologies, Perspectives and Applications
Chen, G., & Dong, X. (1998) · World scientific series on nonlinear science, series A · doi:10.1142/9789812798640 · Cited by 1,155
A time-varying complex dynamical network model and its controlled synchronization criteria
Lu, J., & Chen, G. (2005) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2005.849233 · Cited by 976
From Chaos to Order: Methodologies, Perspectives and Applications
Chen, G., & Dong, X. (1998) · World Scientific Series on Nonlinear Science Series A · doi:10.1142/3033 · Cited by 882
Pinning adaptive synchronization of a general complex dynamical network
Zhou, J., Lu, J.-A., & Lü, J. (2008) · Automatica · doi:10.1016/j.automatica.2007.08.016 · Cited by 573
Finite-Time Observers: Application to Secure Communication
Perruquetti, W., Floquet, T., & Moulay, E. (2008) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2007.914264 · Cited by 516
Cited by
Wen, S., Zeng, Z., Huang, T., & Zhang, Y. (2014) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2013.2294855 · Cited by 289
A novel image encryption algorithm using chaos and reversible cellular automata
Wang, X., & Luan, D. (2013) · Communications in Nonlinear Science and Numerical Simulation · doi:10.1016/j.cnsns.2013.04.008 · Cited by 216
Circuit design and exponential stabilization of memristive neural networks
Wen, S., Huang, T., Zeng, Z., Chen, Y., & Li, P. (2015) · Neural Networks · doi:10.1016/j.neunet.2014.10.011 · Cited by 178
Yan, W., & Ding, Q. (2025) · Nonlinear Dynamics · doi:10.1007/s11071-024-10526-w · Cited by 10
Metadata
- Authors
- Zhang, H., Ma, T., Huang, G.-B., & Wang, Z.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)
- Published
- 2010-06
- Volume
- 40
- Issue
- 3
- Pages
- 831-844
- ISSN
- 1083-4419 (ISSN-L)
- 1941-0492
- OpenAlex
- W2123342507
- Cited by
- 391
- References
- 37
- FWCI
- 20.47
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control. https://app.cochat.ai/papers/10.1109/tsmcb.2009.2030506
- The paper
- Zhang, H., Ma, T., Huang, G.-B., & Wang, Z. (2010). Robust Global Exponential Synchronization of Uncertain Chaotic Delayed Neural Networks via Dual-Stage Impulsive Control. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics). https://doi.org/10.1109/tsmcb.2009.2030506
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
