The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
On feedback control of chaotic continuous-time systems
Abstract
Extends the ideas and techniques developed previously by the present authors for controlling discrete-time chaotic dynamic systems using traditional feedback control strategies to continuous-time chaotic systems. The authors study how the conventional engineering approach using canonical feedback controllers can control the chaotic trajectory of a continuous-time nonlinear system to converge to its equilibrium points and, more significantly, to its multiperiodic orbits including unstable limit cycles. They describe an approach via a detailed investigation of the chaotic Duffing equation, with special emphasis on the control of its chaotic trajectory to one of its multiperiodic orbits. Finally, the authors provide a rigorous mathematical theory and some computer simulations to support and visualize such controllability of the Duffing equation.>
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Ott, E., Grebogi, C., & Yorke, J. A. (1990) · Physical Review Letters · doi:10.1103/physrevlett.64.1196 · Cited by 5,431
Cited by
Stabilizing unstable periodic orbits in fast dynamical systems
Socolar, J. E. S., Sukow, D. W., & Gauthier, D. J. (1994) · Physical Review E · doi:10.1103/physreve.50.3245 · Cited by 434
Adaptive control and synchronization of a modified Chua's circuit system
Yassen, M. T. (2003) · Applied Mathematics and Computation · doi:10.1016/s0096-3003(01)00318-6 · Cited by 270
Metadata
- Authors
- Chen, G., & Dong, X.
- Venue
- IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications
- Published
- 1993
- Volume
- 40
- Issue
- 9
- Pages
- 591-601
- ISSN
- 1057-7122 (ISSN-L)
- OpenAlex
- W2162144003
- Cited by
- 439
- References
- 1
- FWCI
- 7.33
- Type
- journal article
- Language
- en
- Open access
- closed
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- Chen, G., & Dong, X. (1993). On feedback control of chaotic continuous-time systems. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications. https://doi.org/10.1109/81.244908
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