Delay-dependent robust control for linear time-delay uncertain systems

The delay-dependent robust control for uncertain systems with both state and input delays is discussed.By introducing the matrix decomposition idea into the synthesis problem,incorporating with the integral inequality and Lyapunov-Krasovskii functional method,a new delay-dependent condition based on linear matrix inequality is obtained which guarantees that the system is asymptotically stable via memoryless controller.Neither the model transformation nor the bounding cross-terms is employed.Some numerical examples demonstrate that the proposed method is efficient.