An iterative increment is supposed to give the corresponding vector of identification parameters with physical significance in the current iteration. In order to fulfill this requirement, methodologies for limiting iterative increments were presented as the measure to improve the stability of identification results. A constrained optimization problem was given by the transformation of conditions of limiting iterative increments and Levenberg-Marquardt method was proposed. A numerical example

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... gested that Levenberg-Marquardt method could not only give the solution of the constrained optimization problem but also obtain stable identification results.