Title :
Estimating the domain of attraction of a class of SIR epidemic model
Author :
Li, Chunji ; Cao, Lili ; Li, Ning ; Chen, Xiangyong
Author_Institution :
Northeastern Univ., Shenyang
Abstract :
Determining domains of attraction is one of the most important problems when it comes to investigating nonlinear dynamical systems. In this article, we exploit the stability of a class of SIR infection model. We estimate the domain of it with LMI methods based on the moment theory.
Keywords :
diseases; linear matrix inequalities; stability; LMI methods; SIR infection model stability; domain of attraction estimation; linear matrix inequalities; moment theory; nonlinear dynamical systems; Constraint optimization; Control system analysis; Control systems; Direction of arrival estimation; Ellipsoids; Lyapunov method; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Stability analysis; Domain of attraction; SIR epidemic model; moment matrix;
Conference_Titel :
Control and Decision Conference, 2008. CCDC 2008. Chinese
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-1733-9
Electronic_ISBN :
978-1-4244-1734-6
DOI :
10.1109/CCDC.2008.4598283
