New Results on Input Delay Tolerance for a Class of Nonlinear Control Systems

Abstract

This paper studies the problem of when a globally asymptotically stabilizable (GAS) non-homogeneous system by state or output feedback is globally tolerant to input delay. With the aid of the new lemma on the combination of “linear growth and global Lipschitz” property in homogeneous norm reported by Yu and Lin [2023], we prove that for a class of non-homogeneous systems that are not locally exponentially stabilizable (LES) but dominated by a homogeneous system of degree zero, GAS by nonsmooth homogeneous state or output feedback implies GAS of the closed-loop system with input delay, i.e., the property of global input delay tolerance (GIDT). We then illustrate applications of the obtained GIDT results to a class of time-delay non-homogeneous systems with uncontrollable/unobservable linearization.