摘要
双线性系统能对非线性系统很好的近似,可对生态、生物等过程中的许多现象进行描述,对双线性系统研究具有一定的实际价值与理论意义.本文研究了一类离散双线性生态系统的全局渐近稳定问题.针对该系统,给出了一种简单的正规化反馈控制律.运用Lyapunov稳定性理论证明了在此控制律下的闭环系统是全局渐近稳定的.
Bilinear system can efficiently approximate to nonlinear system,it can describe a lot of phenomena for the process in the ecology and biology etc.Study of bilinear system have some actual value and theory significance.The globally asymptotically stable problem of a class of discrete-time bilinear ecological systems is studied.For the systems,we give a simple normalized feedback control law.Based on Lyapunov＇s stability theory,the globally asymptotically stability of the closed-loop systems is investigated.
出处
《生物数学学报》
CSCD
北大核心
2009年第1期115-119,共5页
Journal of Biomathematics
基金
黑龙江省博士后科研启动基金资助课题
关键词
双线性系统
离散系统
全局渐近稳定
正规化控制
Bilinear systems
Discrete-time systems
Globally asymptotically stability
Normalized control
