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。
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.
出处
《工程数学学报》
CSCD
北大核心
2008年第3期555-558,共4页
Chinese Journal of Engineering Mathematics
基金
国家自然科学基金(60564001)
教育部新世纪优秀人才支持计划专项基金(NECT-06-0756)
广西自然科学基金(桂科回0448001)
广西"十百千人才工程"专项基金项目(2003207).