The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication
Abstract
Impulsive control of a chaotic system is ideal for designing digital control schemes where the control laws are generated by digital devices which are discrete in time. In this paper, several theorems on the stability of impulsive control systems are presented. These theorems are then used to find the conditions under which the chaotic systems can be asymptotically controlled to the origin by using impulsive control. Given the parameters of the chaotic system and the impulsive control law, an estimation of the upper bound of the impulse interval is given. We also present a theory of impulsive synchronization of two chaotic systems. A promising application of impulsive synchronization of chaotic systems to a secure communication scheme is presented. In this secure communication scheme, the transmitted signals are divided into small time frames. In each time frame, the synchronization impulses and the scrambled message signal are embedded. Conventional cryptographic methods are used to scramble the message signal. Simulation results based on a typical chaotic system; namely, Chua's oscillator, are provided.
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
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
Continuous control of chaos by self-controlling feedback
Pyragas, K. (1992) · Physics Letters A · doi:10.1016/0375-9601(92)90745-8 · Cited by 3,316
Cryptography based on chaotic systems
Yang, T., Wu, C. W., & Chua, L. O. (1997) · IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications · doi:10.1109/81.572346 · Cited by 352
Self-citationSTEPS TOWARD UNMASKING SECURE COMMUNICATIONS
SHORT, K. M. (1994) · International Journal of Bifurcation and Chaos · doi:10.1142/s021812749400068x · Cited by 339
Impulsive control of Lorenz system
Yang, T., Yang, L.-B., & Yang, C.-M. (1997) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(97)00116-4 · Cited by 183
Self-citationGlobal unfolding of Chua's circuit
Chua, L. O. (1993) · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · Cited by 151
Self-citationDriving and synchronizing by chaotic impulses
Stojanovski, T., Kocarev, L., & Parlitz, U. (1996) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.54.2128 · Cited by 119
Synchronization of chaotic orbits: The effect of a finite time step
Amritkar, R. E., & Gupte, N. (1993) · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · doi:10.1103/physreve.47.3889 · Cited by 91
Recovery of digital signals from chaotic switching
Yang, T. (1995) · International Journal of Circuit Theory and Applications · doi:10.1002/cta.4490230607 · Cited by 87
Self-citation
Cited by
Chen, 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
- Yang, T., & Chua, L. O.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 1997
- Volume
- 44
- Issue
- 10
- Pages
- 976-988
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2157679697
- Cited by
- 773
- References
- 11
- FWCI
- 6.83
- 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: Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. https://app.cochat.ai/papers/10.1109/81.633887
- The paper
- Yang, T., & Chua, L. O. (1997). Impulsive stabilization for control and synchronization of chaotic systems: theory and application to secure communication. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/81.633887
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.
