Title :
Using rational Lyapunov function for estimating the domain of attraction of a nonlinear economic model : An LMI approach
Author :
Heidarieh, M. ; Momeni, H.R.
Author_Institution :
Electr. Eng. Dept., Tarbiat Modares Univ., Tehran
Abstract :
In this paper we propose a new method to estimate the domain of attraction (DOA) of a nonlinear economic model. We use an iterative method to find a Lyapunov function and then convert the problem of estimating DOA to an LMI problem by applying moments theory.
Keywords :
Lyapunov methods; economic cybernetics; iterative methods; linear matrix inequalities; LMI approach; domain of attraction; iterative method; moments theory; nonlinear economic model; rational Lyapunov function; Direction of arrival estimation; Grid computing; Iterative methods; Limit-cycles; Lyapunov method; Nonlinear systems; Optimization methods; Polynomials; Power generation economics; Stability; Domain of attraction; LMI; Nonlinear Economic System; Theory of moments; rational Lyapunov function;
Conference_Titel :
System Theory, 2009. SSST 2009. 41st Southeastern Symposium on
Conference_Location :
Tullahoma, TN
Print_ISBN :
978-1-4244-3324-7
Electronic_ISBN :
0094-2898
DOI :
10.1109/SSST.2009.4806822
