Vibration control of fractional-order linear systems in the presence of time delays has been dealt in this article. Considering a delayed n-degree-of freedom linear structure that is modeled by fractional order equations, a fractional-order optimal control is provided to minimize both control...

Since switching systems are important in research and industry, the article is concerned about the stabilization of fractional order switching systems with the order of 1 q 2 and a time delay actuator. To this end, the so-called system was initially converted to a system with no delay using a...