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Based on linear matrix inequality (LMI) approach, a delay-dependent stability criteria has been developed.

Based on singular value decomposition approach, a delay-dependent sufficient condition for the H∞ control problem is obtained by constructing multiple Lyapunov Krasovskii function and a latest difference inequality.

Based on singular value decomposition approach, a delay-dependent sufficient condition for the H∞ control problem for a class of discrete-time singular systems is proposed by constructing generalized Lyapunov Krasovskii function and a new difference inequality.

Firstly, by constructing delay-partitioning-dependent Lyapunov Krasovskii functional with reciprocally convex approach, a delay-dependent condition guaranteeing the robust H∞ tracking performance is proposed in a set of matrix inequalities.

Based on the Lyapunov Krasovskii functional approach, a delay-probability-distribution-dependent sufficient condition is obtained in terms of linear matrix inequalities (LMIs) such that estimation errors are robustly globally asymptotically stable in the mean-square sense for all admissible uncertainties.

In reference [11], by introducing an improved Lyapunov-Krasovskii functional and employing convex combination approach, a delay-dependent output feedback controller was derived to achieve synchronization with the help of a master-slave concept and linear matrix inequality approach.

Based on the Lyapunov-Ktasovskii approach, a delay-dependent criterion for the existence of a state feedback controller, which guarantees the closed-loop system stability, the upper bound of cost function, and disturbance attenuation lever for all admissible uncertainties as well as out perturbation, is proposed in terms of linear matrix inequalities (LMIs).

For example, the effects of using this approach on a delay sensitive video stream need to be studied.

However, this approach requires a delay between channel signals to ensure the causality condition for the prediction filter, and the prediction error needs to be explicitly calculated.

Improved robust absolute stability criteria were obtained in [16] and [17] based on a free-weighting matrix approach and a delayed decomposition approach.

Using the linear matrix inequality (LMI) approach, a new delay-dependent stability criterion is obtained by introducing a free-weighting matrix when estimating the upper bound of the derivative of Lyapunov Functional.

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