Stabilization of Unstable Periodic orbits of Chaotic Discrete-Time Systems Using Prediction-Based Feedback Control

@article{Hino2002StabilizationOU,
  title={Stabilization of Unstable Periodic orbits of Chaotic Discrete-Time Systems Using Prediction-Based Feedback Control},
  author={Toru Hino and Shigeru Yamamoto and Toshimitsu Ushio},
  journal={I. J. Bifurcation and Chaos},
  year={2002},
  volume={12},
  pages={439-446}
}
In this paper, we consider feedback control that stabilizes unstable periodic orbits (UPOs) of chaotic discrete-time systems. First, we show that there exists a strong necessary condition for stabilization of the UPOs when we use delayed feedback control (DFC) that is known as one of useful methods for controlling chaotic systems. The condition is similar to that in the xed point stabilization problem, in which it is impossible to stabilize the target unstable xed point if the Jacobian matrix… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.

Explore Further: Topics Discussed in This Paper

References

Publications referenced by this paper.
Showing 1-10 of 23 references

Observer-based delayed-feedback control for discrete

K. Konishi, H. Kokame
time-delayed feedback control," Phys. Rev. Lett., vol. 78, • 1998
View 4 Excerpts
Highly Influenced

Eigenvalue Assignment in Linear Periodic Discrete-time

M. Kono
Phys. Lett. A, • 1980
View 9 Excerpts
Highly Influenced

Limitation of Delayed Feedback Control in Nonlinear Discrete-Time

T. Ushio
Phys. Rev. E, • 1996
View 4 Excerpts
Highly Influenced

\ On time - delayed feedback control of chaotic systems

G. Chen, X. Yu
IEEE Trans . Circuits and Systems I • 1999

\ Prediction - based Control of Chaos

S. Yamamoto, T. Hino, T. Ushio
Phys . Lett . A • 1999

1998b] \Delayed feedback control with nonlinear estimation

T. Ushio, S. Yamamoto
1998
View 1 Excerpt

From Chaos to Order: Methodologies, Perspectives

G. Chen, X. Dong
1998
View 1 Excerpt

Half-period delayed feedback control

H. Nakajima, Y. Ueda
J. Control, • 1998

\ Half - period delayed feedback control for dynamical systems with symmetries

H. Nakajima, Y. Ueda
Phys . Rev . E • 1998

\ Observer - based delayed - feedback control for discrete - time chaotic systems

K. Konishi, H. Kokame
Phys . Lett . A • 1998

Similar Papers

Loading similar papers…