A perturbation bound on a class of dynamical model updating problem and a method of keeping its sparse structure

•Numerical theory and method in Mechanical, Aeronautical and Civil Engineering.•A new perturbation bound of some constraints model updating problem.•A method is presented to preserve the sparsity of the model.•The numerical examples show that the method is feasible and effective.

It establishes a perturbation bound of a generalized centrosymmetric model updating problem with spectra constraints. A method is presented to preserve the sparsity of the model. The numerical examples show that the method is feasible and effective.