Passive control for bilinear singular systems with time delay

Abstract

In this paper, the passive control problem for a class of bilinear singular systems with time delay is proposed. First of all, the conception of passive is introduced into bilinear singular systems with time delay. Based on the Lyapunov stability theory and by means of linear matrix inequalities, a sufficient condition is given for a class of bilinear singular time-delay systems to be asymptotically stable and passive. Moreover, we have also designed a state feedback controller which guarantees stable and passive of the closed-loop systems. Finally, a numerical example is provided to illustrate the validity of our proposed method.