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 …

While non-smooth approaches (including sliding mode control) provide explicit feedback
laws that ensure finite-time stabilization but in terminal time that depends on the initial …

Two types of nonlinear control algorithms are presented for uncertain linear plants.
Controllers of the first type are stabilizing polynomial feedbacks that allow to adjust a …

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 …

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 technical note discusses to what extent the high order sliding mode control may serve
as an alternative to the conventional sliding mode control. Definition of sliding mode order …

The paper surveys mathematical tools required for stability and convergence analysis of
modern sliding mode control systems. Elements of Filippov theory of differential equations …

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) such …

The paper addresses the problem of exact average-consensus reaching in a prespecified
time. The communication topology is assumed to be defined by a weighted undirected graph …

The contribution of this study is threefold. First, a vector (multivariable) super‐twisting
algorithm is designed to provide a direct extension of the conventional scalar super‐twisting …