in this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using lyapunov techniques. the system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. some examples in dimensional two are given to illustrate theapplicability of the main results.

This article deals with the design of quadratic and linear dynamic output feedback controllers for systems to ensure, on one hand, local exponential stability origin in closed-loop form and, other increase an estimate basin attraction as large possible. The introduction a term controller allows us consider same class dynamics studied system. Here, our approach is Lyapunov function respect exten...

In this paper, we provide a simple decentralized saturated repetitive learning controller for asymptotic tracking of robot manipulators under actuator saturation. The proposed control consists of a saturated nonlinear proportional plus derivative action and a saturated learning-based feedforward compensation term. A Lyapunov-like stability argument is employed to show semiglobal asymptotic trac...