fast synchronization

This paper constructs a novel 4D system with nonlinear complex dynamic behaviors. By analyzing the hyperchaotic attractors, bifurcation diagram, equilibrium points, Poincare map, Kaplan–Yorke dimension, and Lyapunov exponent behaviors, we prove that the introduced system has complex and nonlinear behavior. Next, the work describes a finite-time terminal sliding mode controller scheme for the synchronization and stability of the novel hyperchaotic system. All the results obtained from the proposed control are verified using Lyapunov stability theory. For synchronization, both systems designed with different parameters and model uncertainties are disturbed. Both stages of the finite-time terminal sliding mode controller have been shown to have fast convergence properties. Simply put, it has been shown that the state paths of both master and slave systems can reach each other in a finite–time. The new controller feature is that the terminal sliding surface designed with a high–order power function of error and derivative of error, is stable in finite–time. At last, using the MATLAB simulation, the results are confirmed for the new hyperchaotic system