For large classes of infinite-dimensional time-varying control systems, the equivalence between integral input-to-state stability (iISS) and combination global uniform asymptotic under zero input (0-GUAS) property uniformly bounded-energy input/bounded state is established a reasonable assumption continuity trajectories with respect to at input. By particularizing specific instances such as tim...

In this paper, we provide novel conditions for stability analysis of aperiodically sampled nonlinear control systems subjected to time-varying delay. The proposed approach can also deal with cases in which delay is larger than the sampling interval. It applicable a general class and provides sufficient criteria that aid making trade-offs between performance bounds on interval As stepping stone,...

We consider general nonlinear systems with time-varying input and state delays for which we design predictor-based feedback controllers. Based on a time-varying infinitedimensional backstepping transformation that we introduce, our controller achieves global asymptotic stability in the presence of a time-varying input delay, which is proved with the aid of a strict Lyapunov function that we con...