%0 Journal Article
%T Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Ghamgosar, Mohammad
%A Mirhosseini-Alizamini, Seyed Mehdi
%A Dadkhah, Mahmood
%D 2022
%\ 10/01/2022
%V 10
%N 4
%P 860-875
%! Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach
%K Delay Systems
%K Fractional order systems
%K sliding mode control
%K Norm-bound perturbation
%R 10.22034/cmde.2021.46019.1928
%X Within the current paper, we design a sliding-based control law to stabilize a set of systems that are nonlinear, fractional order involve delay, perturbation, and uncertainty. A control law-based sliding mode is considered in such a way that the variables of the closed loop system reach the sliding surface in a limited time and stay on it for later times. Then, using the Razomokhin stability theorem, the stability of the systems is proved and in the end, a calculation is found to search for useful methods.
%U https://cmde.tabrizu.ac.ir/article_13921_a043ff9b86bddd922e4780e8557b7871.pdf