A new method of placing Lyapunov exponents via rank one perturbation
YU Yong-jin
CHEN Xu
CHENG Xue-zhen
Abstract：Lyapunov exponents are important metrics to determine chaos in discrete systems. A new algorithm config-uring Lyapunov exponents is proposed for chaos control and chaos anti-control. By introducing specific types of feedback and modulus operations, the algorithm uses eigenvalues of the system matrix via rank one perturbations theory to configure Lyapunov exponents. The proposed algorithm is inline with the Lyapunov exponent criterion for chaos. The proposed algorithm is able to accurately configure the positive Lyapunov exponents of chaos control, and the negative Lyapunov ex-ponents that cannot be obtained in traditional algorithms. The simulation results illustrate the effectiveness of the proposed algorithm.
Keywords：Lyapunov exponentrank one perturbationchaos controlchaos anti-control
Publication Date：2017-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：6( 980-985 )