| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 718647 | IFAC Proceedings Volumes | 2012 | 6 Pages |
Abstract
In this paper we consider the stabilization problem of unstable periodic orbits of discrete time chaotic systems. We consider both one dimensional and higher dimensional cases. We propose a nonlinear feedback law and present some stability results. These results show that for period 1 all hyperbolic periodic orbits can be stabilized with the proposed method. By restricting the gain matrix to a special form we obtain some novel stability results. The stability proofs also give the possible feedback gains which achieve stabilization. We also present some simulation results.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
