Guaranteed cost control for discrete singular bilinear systems with time-delay

The guaranteed cost control problem for a class of discrete singular bilinear systems with time-delay is investigated. By means of generalized Lyapunov function and generalized Riccati inequality and linear matrix inequality, a sufficient condition on the existence of state feedback guaranteed cost controller is derived. By making use of the method of Norm-bounded, the bilinear items was manipulated ingeniously. we give a guaranteed cost controller design method which is expressed in the form of linear matrix inequality (LMI).Finally, an example is given to illustrate the validity of the obtained results.