Stabilization and finite-time stabilization of a novel chaotic system via single input controller

This paper investigates the stabilization and finite-time stabilization of the novel chaotic system. Firstly, through investigating the dynamical behavior of the novel chaotic system, we stabilize the novel chaotic system via single input linear feedback controller. Secondly, extending the stabilization result to finite-time stabilization problem, we stabilize the novel chaotic system within a finite time by single input controller. Finally, numerical simulations verify the effectiveness and the validity of the above theoretical results.