Delay-Dependent Robust Stability and Stabilization of Neutral Systems

Abstract

Complete results for the delay-dependent robust stability and feedback stabilization of linear neutral systems with unknown-but-bounded uncertainties are developed. New linear matrix inequalities-based delay-dependent stability criteria are derived in a systematic way using a new expanded state-space representation and a new Lyapunov-Krasovskii functional. The results are established without relying on overbounding. Solution to delay-dependent statefeedback stabilization andH∞ synthesis are then obtained. Numerical examples are presented to illustrate the theory.

Topics

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