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<p>In this paper, we consider the structured model updating problem for matrix pencils that arise in network systems. The main objective of this paper is to determine structure-preserving perturbations of matrix pencils associated to network systems in such a manner that a perturbed matrix pencil generates a specified set of eigenvalues while substituting a collection of given eigenvalues of the unperturbed pencil and preserving the corresponding eigenvectors, which is referred to as the model updating problem in the context of structural dynamics. We determine a parametric solution of the above problem. Finally, the results are illustrated with the help of numerical examples.</p>

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Model updating problem for structured matrix pencils associated to network systems

  • 期刊论文

  • 发表日期：

    2026年3月7日

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  • Tinku Ganai,
  • Suman Rakshit

摘要

In this paper, we consider the structured model updating problem for matrix pencils that arise in network systems. The main objective of this paper is to determine structure-preserving perturbations of matrix pencils associated to network systems in such a manner that a perturbed matrix pencil generates a specified set of eigenvalues while substituting a collection of given eigenvalues of the unperturbed pencil and preserving the corresponding eigenvectors, which is referred to as the model updating problem in the context of structural dynamics. We determine a parametric solution of the above problem. Finally, the results are illustrated with the help of numerical examples.