Anti-control of chaos for a kind of <i>n</i>-dimensional linear differential system by three-state discontinuous feedback

ZHANG Xiaodan; WANG Zhen

doi:10.13374/j.issn1001-053x.2007.12.046

Volume 29 Issue 12

Aug. 2021

Turn off MathJax

Article Contents

Article Navigation > Chinese Journal of Engineering > 2007 > 29(12): 1276-1281

ZHANG Xiaodan, WANG Zhen. Anti-control of chaos for a kind of n-dimensional linear differential system by three-state discontinuous feedback[J]. Chinese Journal of Engineering, 2007, 29(12): 1276-1281. doi: 10.13374/j.issn1001-053x.2007.12.046

Citation:

ZHANG Xiaodan, WANG Zhen. Anti-control of chaos for a kind of n-dimensional linear differential system by three-state discontinuous feedback[J]. Chinese Journal of Engineering, 2007, 29(12): 1276-1281. doi: 10.13374/j.issn1001-053x.2007.12.046

Citation:

PDF( 733 KB)

Anti-control of chaos for a kind of n-dimensional linear differential system by three-state discontinuous feedback

doi: 10.13374/j.issn1001-053x.2007.12.046

Applied Science School, University of Science and Technology Beijing, Beijing 100083, China

Received Date: 2006-08-30
Rev Recd Date: 2006-10-16

Available Online: 2021-08-16

Abstract

Abstract

To expand the application of chaos control and synchronization in the field ot secure commumcation, anti-control of chaos for three-state discontinuous linear feedback systems was achieved by adding a feedback control item under discontinuous state to a kind of n-dimensional unstable linear systems, the basic dynamical behaviors of the chaotic control systems were investigated in detail, and some theorems were given. Numerical simulation and calculating all Lyapunov exponents verify their chaos.
- linear differential system,
- anti-control of chaos,
- discrete,
- coupling system