Quadratic stabilization for multi-time-delay uncertain discrete systems

This paper studies the problem of quadratic stabilization for a class of multi-time delay uncertain discrete systems. Suppose that the time-varying uncertain parameters are norm-bounded, but it is not required to satisfy a strict matched conditions, state and input for the system are both with multi-time delay. New sufficient conditions of quadratic stabilization is given for the system by generalized Lyapunov function and linear matrix inequalities approaches. Quadratic stabilization controller can be obtained only from solving the corresponding linear matrix inequalities such that the closed loop systems is stable of all admissible parameters uncertainties. A numerical example is given to show the potential of the proposed techniques.