带有不确定性的滞后广义系统的渐进稳定与镇定  

Asymptotic stability and stabilization for singular systems with uncertainty and time-delay

作　　者：王爱宏[1] 巩长忠[2] 

机构地区：[1]渤海大学数学系,辽宁锦州121013 [2]中国民用航空学院理学院,天津300300

出　　处：《渤海大学学报（自然科学版）》2006年第2期127-129,共3页Journal of Bohai University:Natural Science Edition

摘　　要：广义系统的渐进稳定与镇定问题是广义系统的基本问题之一,在许多领域中均有应用。目前对于时滞广义系统的研究已取得一些成果,但对于带有不确定性的滞后广义系统的研究还是空白。利用Lyapunov泛函方法研究了还有不确定的滞后广义系统的渐进稳定和镇定问题,给出了渐进稳定的判定定理,设计了适当的反馈律。The asymptotic stability and stabilization problem is one of the fundamental problems in singular systems theory,and is used in many fields. The study of singular systems with time-delay has received some results,but the study of singular system with uncertainty and time-delay has made no progress. In this paper, the Lyapunovs＇s method is employed to study the asymptotic stability and stabiliaztion for singular systems with uncertainty and time-delay. The theorem of asymptotic stability is obtained. The controller is designed.

关 键 词：稳定 不确定性 时滞 

分 类 号：O232[理学—运筹学与控制论]