Delay independent truncated predictor feedback for stabilization of linear systems with multiple time-varying input delays

Abstract

In this paper, we consider the problem of stabilizing a general linear system, possibly exponentially unstable, with multiple time-varying input delays by delay independent truncated predictor feedback. Parametric Lyapunov equation based feedback design is used to construct the feedback gain matrix. By using the Lyapunov-Razumikhin Stability Theorem, a bound on the delays is derived under which the asymptotic stability of the closed-loop system is guaranteed. The result in this paper extends a result in the literature for linear systems whose open loop poles are in the open left-half plane or at the origin to general linear systems.