Sliding mode control of a class of uncertain nonlinear fractional-order time-varying delayed systems based on Razumikhin approach

Document Type : Research Paper


Department of Mathematics, Payame Noor University (PNU), Tehran, Iran.


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. 


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