This paper presents a review of finite-and fixed-time convergent algorithms for dynamic
systems of various dimensions and relative degrees, with or without disturbances. The …

The objective of this article, is to provide a clear presentation of the discretization of
continuous‐time sliding‐mode controllers, also known in the automatic control literature as …

Control in the presence of uncertainty is one of the main topics of modern control theory. In
the formulation of any control problem there is always a discrepancy between the actual …

This brief focuses on the problem of fixed-time adaptive trajectory tracking control for a
quadrotor unmanned aerial vehicle (QUAV) subject to error constraints. By virtue of the fixed …

A continuous output feedback control scheme rendering the closed-loop double integrator
system globally stable in finite-time is presented. In particular, the convergence time is …

This study addresses a fixed‐time terminal sliding‐mode control methodology for a class of
second‐order non‐linear systems in the presence of matched uncertainties and …

In this paper, a method for new controller design ensuring the arbitrary time of convergence
is proposed. The sufficient condition for Lyapunov stability is also given for this arbitrary …

This article introduces predefined-time stable dynamical systems which are a class of fixed-
time stable dynamical systems with settling time as an explicit parameter that can be defined …

Abstract Theorems on Implicit Lyapunov Functions (ILF) for finite-time and fixed-time stability
analysis of nonlinear systems are presented. Based on these results, new nonlinear control …

This brief presents a novel control scheme to achieve fast fixed-time system stabilization.
Based on fixed-time stability theory, a novel fixed-time stable system is presented. Using the …