Nonfragile $H_{\infty}$ Control for Uncertain Neutral Systems With Time-Varying Delays via the LMI Optimization Approach

The nonfragile H
_infin
control problem for a neutral system with time-varying delays is considered. Delay-dependent criteria are proposed to guarantee the stabilization and disturbance attenuation of systems. A linear matrix inequality optimization approach is used to solve the nonfragile H
_infin
control problem. Nonfragile H
_infin
control for an unperturbed neutral system is investigated first. Then, nonfragile H
_infin
control for an uncertain neutral system is derived directly from the unperturbed case. Finally, two examples are illustrated to show the improvement of this correspondence