Robust H_∞ control of neutral delay systems with Markovian jumping parameters

The problem of H-∞ control of neutral delay systems with Markovian jumping parameters and polytopic uncertainty was addressed. By using a descriptor model transformation of the system and Moon's inequality for bounding cross terms, a new delay-dependent sufficient condition for the existence of a memoryless H-∞ state feedback controller was derived in terms of linear matrix inequalities.