中立型随机时滞系统的非脆弱H∞控制

his paper considers the H∞ control problem for uncertain neutral stochastic time-delay systems with distributed delays via non-fragile controllers, i.e., the controllers can stabilize the uncertain neutral stochastic time-delay systems with distributed delays and satisfy the prescribed H∞ performance even if the controllers are perturbed externally in practice. Making use of the theory of Lyapunov stability and the It formula, a delay-dependent sufficient condition for the existence of such non-fragile H∞ controllers for the uncertain neutral stochastic time-delay systems is obtained by the linear matrix inequality, and the expression of the desired non-fragile controllers for the uncertain neutral stochastic time-delay systems is given. Finally, an example is provided to demonstrate the effective of the proposed method for the uncertain neutral stochastic time-delay systems.