ESTIMATING THE DOMAIN OF ATTRACTION VIA MOMENT MATRICES |
Li, Chunji
(Institute of System Science College of Sciences Northeastern University)
Ryoo, Cheon-Seoung (Department of Mathematics Hannam University) Li, Ning (Institute of System Science College of Sciences Northeastern University) Cao, Lili (Institute of System Science College of Sciences Northeastern University) |
1 | R. Curto and L. Fialkow, Solution of the truncated complex moment problem for flat data, Mem. Amer. Math. Soc. 119 (1996), no. 568, x+52 pp |
2 | O. Hachicho, A novel LMI-based optimization algorithm for the guaranteed estimation of the domain of attraction using rational Lyapunov functions, J. Franklin Inst. 344 (2007), no. 5, 535-552 DOI ScienceOn |
3 | O. Hachicho and B. Tibken, Estimating domains of attractions of a class of nonlinear dynamical systems with LMI methods based on the theory of moments, Proceedings of the 41st IEEE Conference on Decision and Control, pp. 3150-3155, Las Vegas, USA, 2002 |
4 | Y. Jin, W. Wang, and S. Xiao, An SIRS model with a nonlinear incidence rate, Chaos Solitons Fractals 34 (2007), no. 5, 1482.1497 DOI ScienceOn |
5 | X. J. Lan, H. X. Yang, and Z. Q. Sun, Class of the combined SIR and SIS contagion model for population for varying size, J. Chongqing Institute Technology (Natural Science Edition, Chinese) 21 (2007), no. 6, 40-42 |
6 | C. Li, I. B. Jung, and S. S. Park, Complex moment matrices via Halmos-Bram and Embry conditions, J. Korean Math. Soc. 44 (2007), no. 4, 949-970 과학기술학회마을 DOI ScienceOn |
7 | C. Li and S. H. Lee, The quartic moment problem, J. Korean Math. Soc. 42 (2005), no. 4, 723-747 과학기술학회마을 DOI ScienceOn |
8 | J. Lofberg, Yalmip : A toolbox for modeling and optimization in matlab, in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004 DOI |
9 | I. B. Jung, E. Ko, C. Li and, S. S. Park, Embry truncated complex moment problem, Linear Algebra Appl. 375 (2003), 95-114 DOI ScienceOn |
10 | J. B. Lasserre, Global optimization with polynomials and the problem of moments, SIAM J. Optim. 11 (2001), no. 3, 796-817 DOI ScienceOn |