Stability analysis of conformable-fractional time-delay systems with disturbances
Based on the Lyapunov stability theory of nonlinear systems,the stability and stabilization of conformable fractional-order time-delay nonlinear systems with disturbances where the order of the deriva-tive is in the interval(0,1)are studied.Firstly,based on the Lyapunov-Krasovskii functional theory,stabil-ity theorems of conformable fractional-order time-delay nonlinear systems with disturbances are proposed.Secondly,based on TP control strategy and Filippov theory,feedback stabilization theorems for conform-able fractional-order time-delay nonlinear systems with disturbances are given.Finally,an example is given to illustrate the correctness of main results.