In this paper, the finite-time stabilization of a class of multi-state time delay of fractional-order system is proposed.First, we define finite-time stability with the fractional-order system.Second,by using Generalized Gronwall’s approach and the methods of the inequality,we get some conditions of finite-time stability for the fractional system with multi-state delay.Finally,a numerical examp...

New control procedures for finite-time stabilization of discrete-time nonlinear systems in the strict-feedback form are proposed. The proposed designs enjoy properties being dependent on one design parameter and ability to bring state vector origin finite time. Moreover, settling-time functions estimated terms initial unique that regulates rate convergence. Finally, a trajectory-tracking algori...

we derive error estimates in the appropriate norms, for the streamlinediffusion (sd) finite element methods for steady state, energy dependent,fermi equation in three space dimensions. these estimates yield optimal convergencerates due to the maximal available regularity of the exact solution.high order sd method together with implicit integration are used. the formulationis strongly consistent...

Stabilization of simple mechanical systems in finite time with continuous state feedback is considered here. The dynamics is represented by generalized (local) coordinates. A general methodology to construct control Lyapunov functions that are Hölder continuous and that can be used to show finite-time stability of the feedback controlled system, is presented. This construction also gives the fe...

Funding information National Natural Science Foundation of China, Grant/Award Number: 61773081; technology transformation program of Chongqing higher education university, Grant/Award Number: KJZH17102 Summary This paper provides a time-varying feedback alternative to control of finite-time systems, which is referred to as “prescribed-time control,” exhibiting several superior features: (i) suc...