Presents some basic theories of stability and stabilization of linear systems with time-delay

Discusses the problem of stability analysis and controller synthesis of linear time-delay system based on Lyapunov-Krasovskii (LK) functional approach in a linear matrix inequality (LMI) frame work as in recent year's efficient software has become available for finding the optimal value of delays

Presents the use of a LMI control tool box for getting the solution for the estimation of time-delay

The solution of every theorem is provided with the MATLAB code for the ease of beginners in this field of research