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.