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The domain of attraction of a nonlinear differential equations is the region
of initial points of solution tending to the equilibrium points of the
systems as the time going. Determining the domain of attraction is one of
the most important problems to investigate nonlinear dynamical systems. In
this article, we first present two algorithms to determine the domain of
attraction by using the moment matrices. In addition, as an application we
consider a class of SIRS infection model and discuss asymptotical stability
by Lyapunov method, and also estimate the domain of attraction by using the
algorithms.
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참고문헌 (10)
참고문헌 신청
Chunji Li / 2005 / The quartic moment problem / 대한수학회지 42 (4) : 723 ~ 747
Chunji Li / 2007 / Complex Moment Matrices via Halmos-Bram andEmbry Conditions / 대한수학회지 44 (4) : 949 ~ 970
I. B. Jung / 2003 / Embry truncated complex moment problem / Linear Algebra Appl 375 : 95 ~ 114
J. B. Lasserre / 2001 / Global optimization with polynomials and the problem of moments / SIAM J. Optim 11 (3) : 796 ~ 817
J. Lofberg / 2004 / Yalmip : A toolbox for modeling and optimization in matlab / Proceedings of the CACSD Conference
Chunji Li / 2007 / Complex Moment Matrices via Halmos-Bram andEmbry Conditions / 대한수학회지 44 (4) : 949 ~ 970
I. B. Jung / 2003 / Embry truncated complex moment problem / Linear Algebra Appl 375 : 95 ~ 114
J. B. Lasserre / 2001 / Global optimization with polynomials and the problem of moments / SIAM J. Optim 11 (3) : 796 ~ 817
J. Lofberg / 2004 / Yalmip : A toolbox for modeling and optimization in matlab / Proceedings of the CACSD Conference
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