三种群食物链系统的耗散性控制  

Dissipation Control of Three - Species Food Chain Systems

作　　者：赵立纯[1,2] 张庆灵[1] 杨启昌[2] 

机构地区：[1]东北大学理学院 [2]鞍山师范学院数学系,辽宁鞍山114005

出　　处：《生物数学学报》2003年第1期82-92,共11页Journal of Biomathematics

摘　　要：利用两种特殊的耗散性控制: H∞-控制和无源化性控制,对三种群食物链系统进行了研究.首先,对三种群食物链系统进行了H∞-控制,获得了使闭环系统在正平衡点处全局渐近稳定的控制律.其次,利用无源化控制,得到了使闭环系统全局渐进稳定的控制律范围.Three - species food chain systems are investigated by means of two special dissipation control : H∞- control and passivity - based control. First , H∞ - control is exerted on the systems and the control law with the closed system can be globally asymptotically stable at the positive equilibrim of the systems is obtained. Second, passivity - based control are exerted on the systems in question and the scope of the control law which makes the closed systems be globally asymptotically stable is given.

关 键 词：H∞-控制 耗散性控制 无源化控制 L2增益 食物链系统 

分 类 号：Q811.3[生物学—生物工程]