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In this paper, the problem of delay-dependent robust stabilization is investigated for singular systems with multiple input delays and admissible uncertainties. First, an improved delay-dependent stabilization criterion for the nominal system is established in terms of linear matrix inequalities (LMIs). Then, based on this criterion, the problem is solved via state feedback controller, which guarantees that the resultant closed-loop system is regular, impulse free, and stable for all admissible uncertainties. Numerical examples are provided to illustrate the effectiveness of the proposed method.

This paper deals with the problems of controller design for a class of MIMO networked control systems. Firstly, a continuous time model of NCSs with multiple input time-delays is proposed. Based on Lyapunov-Krasovskii functional method, some delay-dependent stability criteria for the system are derived. Numerical examples are given finally to illustrate the effectiveness of the method.

In this paper, the problem of state feedback stabilization for switched singular networked control systems with time-delay is considered. Firstly, the modeling problem is discussed. Suppose the sensor node is time-driven, the controller and executor are event-driven, assuming the sensor data are transmitted with single data packed and the transfer delay is less than one sampled period, the system can be modeled as an linear discrete switched system with delay. By Lyapunov function, we can easily determine the stability of the systems. Using Matlab LMI toolbox, we can obtain the state feedback control law at the same time. Finally, an example is presented to illustrate that the proposed method is efficient.