Delay-dependent Guaranteed Cost Control for Neutral Systems with Sector-bounded Nonlinearity

This paper investigates robust absolute stabilization problem for a class of uncertain neutral systems with sector-bounded nonlinearity. Based on Lyapunov-Krasovaskii stability theory and LMI approach, a delay-dependent design method of robust guaranteed cost controller is given such that closed-loop system absolutely stable and guarantee that the given quadratic cost function is no more than a positive upper bound. Moreover, a linearization algorithm is applied to solve an optimization problem and a suboptimal guaranteed cost can be derived. A numerical example is given to illustrate the proposed results