Robust H∞ control of linear uncertain neutral type systems with time-varying delay

The problems of robust stability and robust H_∞ control for a class of uncertain neutral systems with time-varying delay are investigated. The class describes linear state models with norm-bounded uncertain system parameters and time-varying delay. First, a sufficient condition for robust stability independent of time-varying delay is developed. Then, a sufficient condition for designing a memoryless state-feedback controller which stabilizes the uncertain neutral system under consideration and guarantees an H_∞-norm bound constraint on the disturbance attenuation for all admissible uncertainties is derived. In both problems, the results are expressed in the form of LMI.