Boundary estimation and cascade control for a Lorenz‐like system.

In this paper, we devoted to investigate a hyperelliptic estimate of the ultimate bound and positively invariant set for the new system via the Lyapunov function method. Furthermore, we obtained the global exponential attractive set Cλ,k$$ {C}_{\lambda, k} $$, which is an exponential decay rate. The rate of the trajectories of the system going from the exterior to the interior of the set Cλ,k$$ {C}_{\lambda, k} $$. Numerical simulations are presented to show the effectiveness and the feasibility. The theoretical results obtained will find wide applications in cascade control and chaos synchronization. [ABSTRACT FROM AUTHOR]