An LMI Approach to H∞ Performance Analysis of Continous-Time System with Two Additive Time-Varying Delays

Abstract

This paper investigates the problem of H∞ performance analysis for continous–time systems with two additive time-varying delays in the state. Our objective is focused on stability analysis of a continuous system with two time-varying delays with an H∞ disturbance attenuation level γ. By exploiting Lyapunov-Krasovski functional and introducing free weighting matrix variables, LMI stability condition have been derived.

Keywords

• H∞ performance analysis
• Linear Matrix Inequality (LMI)
• time delay systems