In this paper, a novel approach for finite-time stabilization of uncertain affine systems is proposed. In the proposed approach, a fast terminal sliding mode (FTSM) controller is designed, based on the input-output feedback linearization of the nonlinear system with considering its internal dynamics. One of the main advantages of the proposed approach is that only the outputs and external state...

In this paper, finite-time stability and stabilization problems for a class of linear time-delay systems are studied. Firstly, the concepts of finite-time stability and finite-time stabilization are extended to linear time-delay systems. Then, based on methodology of linear matrix inequalities and the Lyapunov-like functions method, some sufficient conditions under which the linear time-delay s...

In this paper, the impact of the discretization techniques and the sampling time, on the finite-time stabilization of sampled-data controlled Linear Time Invariant (LTI) systems, is investigated. To stabilize the process in finite time, a discretetime feedback dead-beat controller is designed for the sampleddata system. Checkable conditions on the approximate discretetime plant model and the as...

The problem of global finite-time stabilization is investigated in this paper. Using the finite-time Lyapunov stability theorem and the nonsmooth feedback design method developed recently, with a suitable twist, we prove that it is possible to achieve global finite-time stabilizability for a significant class of nonlinear systems which has been known not to be smoothly stabilizable, even locall...