After discussing the sampled-data control over linear time-lag systems
and by using Lyapunov stability theory and linear matrix inequality approach(LMI)
the authors have presented the criteria for identifying the existence of lag-dependent sampled-data law for controlling linear time-lag systems in LMI framework.Such a sampled-data control system can stabilize time-lag systems if the sampling interval is within a fixed upper bound.The authors have also proposed the approaches for designing such a control law in the form of parameters.