It is known that random noises have a significant impact on differential systems. Recently, the influences of for impulsive systems been started. Nevertheless, existing references this issue ignore phenomena nonlinear impulses and time-varying delays. Therefore, we see necessity to study with above two factors. Stimulated by above, polynomial noise introduced suppress potential explosive behavi...

Dynamic Ratcheting (DR) is a nonlinear dynamic phenomenon occurring in hysteretic damping systems. It means the structural plastic deformation increases asymmetrically in successive cycles under an earthquake excitation. Although it is generally recognized that DR is closely related to the frequency contents of an earthquake excitation applied to thestructure, no targeted analysis has bee...

In this paper, an adaptive fuzzy control scheme is proposed for a class of perturbed strict-feedback nonlinear systems with unknown discrete and distributed time-varying delays, and the proposed design method does not require a priori knowledge of the signs of the control gains.Based on the backstepping technique, the adaptive fuzzy controller is constructed. The main contributions of the paper...

The adaptive fixed-time control problem for nonlinear systems with time-varying actuator faults is investigated in this paper. A novel controller designed via combining the Lyapunov stability theory backstepping method. It can be adapted to both system uncertainties and unknown faults. Compared existing fault-tolerant schemes subject faults, neural networks scheme make sure that tracking error ...