不确定非线性时滞系统的正实控制分析  

Positive Real Control of Uncertain Nonlinear System with Time Delays

作　　者：史玉英[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《长江大学学报（自科版）（上旬）》2009年第2期10-13,共4页JOURNAL OF YANGTZE UNIVERSITY (NATURAL SCIENCE EDITION) SCI ＆ ENG

摘　　要：通过构造Lyapunov泛函,利用矩阵不等式方法对非线性时滞系统的正实性进行分析和研究,得到系统严格正实的充分条件。这些条件最终都可以转化为线性矩阵不等式(LMI,linear matrix inequaty)的形式,可用MATLAB中的LMI工具箱求解。By constructing Lyapunov function,the positive real control of uncertain nonlinear systems with time-varying delays is analyzed with the matrix-inequality method.Sufficient conditions are proposed to guarantee the systems considered to be strictly positive real.The derived sufficient conditions are expressed in terms of matrix inequality.So the solution can be found by the LMI toolbox of MATLAB.

关 键 词：时滞系统 不确定性 正实控制 LMI 

分 类 号：O231.2[理学—运筹学与控制论]