A linearized procedure for solving inverse sensitivity equations of non-defective systems

摘要

A linearized algorithm for solving inverse sensitivity equations of non-defective systems is presented. It is based on the orthonormal decomposition of the first order directional derivatives and directional continuity along tau of the tau - lambda base. The least-squares methods which minimize the trace of eigenmode matrix a suggested by Pesek and Lallement, respectively, for self-adjoint systems are extended to general non-defective systems in this paper. Moreover, the new algorithm has intuitive simple geometrical significance and is consistent with the first order Taylor expansion of the tau - lambda base. The numerical results calculated from the aforementioned three methods are compared, respectively, with the exact solution using two simulation examples. It demonstrates that the results of the proposed algorithm are the nearest to the exact solution. (C) 2002 Elsevier Science Ltd. All rights reserved. [References: 16]