Abstract: To solve the adaptive finite-time control problem for fractional order hyperchaotic Lorenz systems with
uncertain parameters, based on the related lemmas of fractional calculus and the finite-time Lyapunov principle,
an adaptive finite time controller is designed to guarantee the system’s adaptive finite-time stability. The accuracy
and effectiveness of the proposed controller are verified by numerical simulations. The method is simple and
effective, which can make the state variables of the system converge to the equilibrium point in a finite time. The
convergence speed is fast and the robust performance is good.

Key words:  fractional-order hyperchaotic system, finite time, adaptation, parameters uncertainty