Degenerate Functions in the Analysis of Asymptotic Stability of Solutions of Functional Differential Equations

On the problem of tracking for the nonholonomic systems with provision for the feedback delay

“…Therefore, if the control v then, using the result of uniform asymptotic stability for the controls with delay in terms of the fixed-sign function [15] and the assumption of induction, we conclude that the zero solution of system (7) is uniformly asymptotically stable for τ 2 ∈ [0, 1/b). These arguments suggest the following theorem.…”