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Passive control for uncertain discrete singular bilinear systems

The passive control problem for a class of uncertain discrete singular bilinear systems is investigated. By means of generalized Lyapunov function and generalized Riccati inequality and linear matrix inequality, a sufficient condition is derived such that a prescribed discrete singular bilinear systems with time-delay is passive and its zero solution is asymptotically stable.By making use of the method of Norm-bounded, the bilinear items was manipulated ingeniously .Finally, an example is given to illustrate the validity of the obtained results.