Ge, S.S., Wang, C. and Lee, T.H. (2000) Adaptive Backstepping Control of a Class of Chaotic Systems. International Journal of Bifurcation and Chaos, 10, 1149-1156.
https://doi.org/10.1142/s0218127400000815

has been cited by the following article:

• TITLE: Gyroscope Chaos Control Using Backstepping Control Design

  AUTHORS: Rostand Martial Davy Loembe Souamy, Pingjiang Guo, Xianfan Chun, Baowen Xu, Honghua Wang, Christian Tathy

  KEYWORDS: Chaotic-Gyroscope, Lyapunov Method, Backstepping Method, Control Design

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.14 No.3, September 29, 2025

  ABSTRACT: The study proposes a backstepping controller that omits cubic (third-order) terms to suppress chaotic motion in a two-state symmetric gyroscope. A Lyapunov-based proof claims global asymptotic stability, and numerical simulations illustrate state convergence under the new law of control and Lyapunov stability of theory respectively. The work aims to reduce controller complexity compared with earlier designs that retained third-order terms. A rigorous analysis shows that the controller will converge asymptotically. Numerical simulations are given to verify the effectiveness of the proposed backstepping controller design.