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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 exampledoi:10.12783/dtcse/cnai2018/24192 fatcat:zm3mr7kk7vhrnm6czxnob4zuhu