The Control of high-dimensional Chaos in Time-Delay Systems
chao-dyn
2007-05-23 v1 Chaotic Dynamics
Abstract
We present the control of the high-dimensional chaos, with possibly a large number of positive Lyapunov-exponents, of unknown time-delay systems to an arbitrary goal dynamics. We give an existence-and-uniqueness theorem for the control force. In the case of an unknown system, a formula to compute a model-based control force is derived. We give an example by demonstrating the control of the Mackey-Glass system towards a fixed point and a R\"ossler-dynamics.
Keywords
Cite
@article{arxiv.chao-dyn/9905003,
title = {The Control of high-dimensional Chaos in Time-Delay Systems},
author = {M. J. Bünner},
journal= {arXiv preprint arXiv:chao-dyn/9905003},
year = {2007}
}
Comments
6 pages, 4 figures, accepted for publication in 'Chaos'