Robust H∞ control for linear neutral systems with mode-dependent time-delays and Markovian jump parameters

This paper considered robust H_infin control for uncertain system with mode-dependent time delays and Markovian jump parameters. The problem aims at designing a state feedback controller so that the uncertain neutral systems are robust H_infin stable. The estimating procedure is implemented by solving a linear matrix inequality (LMI). In terms of an LMI and Lyapunov function, the H_infin stability criteria is formulated. The time delay varies in an interval and depends on the mode of operation. A delay-range-dependent condition in the form of LMIs is derived for the solvability of this H_infin control problem, and the desired controller can be constructed. An illustrative numerical example is provided to demonstrate the effectiveness of the proposed approach.