@article { author = {Ghamgosar, Mohammad and Mirhosseini-Alizamini, Seyed Mehdi and Dadkhah, Mahmood}, title = {Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach}, journal = {Computational Methods for Differential Equations}, volume = {10}, number = {4}, pages = {860-875}, year = {2022}, publisher = {University of Tabriz}, issn = {2345-3982}, eissn = {2383-2533}, doi = {10.22034/cmde.2021.46019.1928}, abstract = {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. }, keywords = {Delay Systems,Fractional order systems,sliding mode control,Norm-bound perturbation}, url = {https://cmde.tabrizu.ac.ir/article_13921.html}, eprint = {https://cmde.tabrizu.ac.ir/article_13921_a043ff9b86bddd922e4780e8557b7871.pdf} }