In 2014, Gong et al. proposed a simple method for solving dual fuzzy matrix equations in $LR$ form. Later, Kaur and Kumar showed that there is a technical flaw in their method and it is valid only for certain types of $LR$ dual fuzzy matrix equations. The main aim of this paper is to eliminate this technical flaw and also correct some numerical results obtained by Gong et al.. تفاصيل المقالة

A nonlinear chattering-free sliding mode control method is designed to stabilize fractional chaotic systems with model uncertainties and external disturbances. The main feature of this controller is rapid convergence to equilibrium point, minimize chattering and resistance against uncertainties. The frequency distributed model is used to prove the stability of the controlled system based on direct method of Lyapunov theory. Numerical simulations are presented to illustrate the effectiveness of the method. تفاصيل المقالة