Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9868152 | Physics Letters A | 2005 | 10 Pages |
Abstract
We present a new feedback control algorithm for quantities describing global features of nonlinear dynamical systems. The algorithm, which is based on the concepts of non-Lipschitzian dynamics, is first analyzed in a general multi-dimensional framework for various targeted quantities and control scenarios. For all these situations we derive the linear stability of the targeted trajectory and show that the time needed to reach it is finite. Thus we underscore the efficiency and robustness of the non-Lipschitzian feedback with respect to the ordinary (Lipschitzian) feedback. We illustrate the algorithm on the 2d Frenkel-Kontorova model for nanofriction.
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Vladimir Protopopescu, Jacob Barhen, Gabriel Amselem, Julien Dahan,