Delay-dependent robust stability analysis and stabilization of linear systems using a simple delay-discretization approach

Abstract

In this paper, a discretization scheme is proposed for systems with constant delay and the delay is assumed to appear in range. The proposed approach uses simple Lyapunov-Krasovskii functional to derive the robust stability and stabilization criteria. As a result of which the derived criteria become finite-dimensional. Though the criteria give sufficient condition for stability, but they are less conservative than the existing results. To demonstrate the effectiveness of the approach, numerical examples are considered.