Finite-time stabilization for a class of fractional-delay nonlinear systems

This paper investigates the finite-time control problem of a class of fractional-delay nonlinear systems by applying Razumikhin approach. First, an equivalent form is presented for the systems by orthogonal decomposition method. Then, based on the equivalent form and finite-time stability criterion, we study the finite-time control problem for this class of systems by choosing a suitable Lyapunov function, and give a control design procedure. Finally, an illustrative example shows that the result obtained in this paper is effective in stabilizing some fractional-delay nonlinear systems.