具有区间时滞的不确定系统的BIBO稳定性  

BIBO stability of uncertain systems with interval time-varying delay

作　　者：宋静 徐娟[2] 

机构地区：[1]成都工业职业技术学院,四川成都610213 [2]农业部沼气科学研究所,四川成都610041

出　　处：《西南民族大学学报（自然科学版）》2017年第4期414-417,共4页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金项目(61403254)

摘　　要：当系统受到外部有界输入作用时,输出也是有界的,此时系统是BIBO稳定的.在各类线性系统、非线性系统、中立型系统、切换系统中,BIBO稳定性已经得到广泛研究.时滞作为一种现象,广泛的存在于各类控制系统中.针对具有区间时滞的不确定系统,研究BIBO稳定性.通过Lyapunov泛函和不等式分析方法获得满足具有区间时滞的不确定系统的BIBO稳定性一类条件.When the system is affected by an external bounded input, the output is also bounded, and the system is of BIBO sta- bilization. BIBO stabilization has been researched extensively in linear system, nonlinear system,neutral system and neural net- works. As a phenomenon,time-delay exists widely in various control systems. In this paper, the problem of BIBO stability of un- certain system with interval time-varying delay was considered. A criterion for sufficiency of the BIBO stabilization for uncertain systems was obtained by means of the method of Lyapunov function and the inequality of analysis.

关 键 词：区间时滞 LYAPUNOV泛函 不等式分析 BIBO稳定性 

分 类 号：O19[理学—数学]