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中文摘要：
本文利用广义Lyapunov函数，分析了离散广义双线性系统的无源性。给出了保证系统无源的条件，同时设计了无源控制器，使闭环系统是渐近稳定的。最后给出了可行的数值算例。
英文摘要：
The problem of passive control on discrete-time singular bilinear systems is considered in this paper. The singular Lyapunov function is employed to analyse the passivity of discrete-time singular bilinear systems. Sufficient conditions are presented for guaranteeing the passivity of the bilinear systems. The passive controller is designed to assure that the closed-loop system is asymptotically stable. A numerical example is finally given to illustrate our theoretical results.
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