Global Optimization for the Parameter Estimation of Differential-Algebraic Systems

By William R. Esposito and, Christodoulos A. Floudas. 2000

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Deterministic global optimization of nonlinear dynamic systems (2007, background): “Thus a Taylor model of f g is given by Tf g = (pf g; Rf g) = (pf pg; Rf Rg): ( 7 )”
Deterministic Global Optimization for Parameter Estimation of Dynamic Systems (2006, unknown): “i! [(x x0) 5] i f (x0) + 1 (q + 1)! [(x x0) 5] q+1 f [x0 + (x x0) ] ; ( 2 )”
A hybrid approach for efficient and robust parameter estimation in biochemical pathways. (2006, background): “In any case, several promising approaches for the use of deterministic global optimisation (GO) for parameter estimation in non-linear dynamic systems have appeared recently (Esposito and Floudas, 2000; Papamichail and Adjiman, 2002), so this is a promising avenue of research.”
Parameter estimation in biochemical pathways: a comparison of global optimization methods. (2003, methodology): “Deterministic methods are those that can provide a level of assurance that the global optimum will be located, and several important advances in the GO of certain types of nonlinear dynamic systems have been made recently (Esposito and Floudas 2000; Singer et al. 2001; Papamichail and Adjiman 2002).”