Eşkinat, EşrefTürkay, Osman S.2022-08-122022-08-122004-11Orbak, A. Y. vd. (2004). “Physical parameter sensitivity of system eigenvalues and physical model reduction”. Journal of the Franklin Institute-Engineering and Applied Mathematics, 341(7), 631-655.0016-0032https://doi.org/10.1016/j.jfranklin.2004.07.001https://www.sciencedirect.com/science/article/pii/S0016003204000663http://hdl.handle.net/11452/28177The identification of subsystems and/or components that is related to a given eigenvalue of the overall system is a challenging and important topic. The use of special structure of the system matrices obtained busing bond graphs can result in identifying subsystems and/or components that affect a given eigenvalue of an overall system. This paper, by making use of a set of theorems and definitions proposes an efficient procedure for this purpose. The basic procedure is based upon the calculation of sensitivity of eigenvalues. The so-called "effect" matrices are produced that indicates the relative importance of physical parameters on a selected eigenvalue. In addition to the relative importance, the effect matrix is used for an efficient physical model reduction procedure. Furthermore, reasons of different dynamic behavior of a system can be explained. Use of effect matrices also improves the physical model reduction method based on decomposition procedures. Three examples are given to illustrate the approach and its consequences.eninfo:eu-repo/semantics/openAccessAutomation and control systemsEngineeringMathematicsEigenvalue sensitivityPhysical parametersPhysical model reductionHankel singular values (HSV)Control systemsEigenvalues and eigenfunctionsMathematical modelsMatrix algebraReductionSensitivity analysisLarge scale systemsArticle0002251517000052-s2.0-63442915426316553417Automation and control systemsEngineering, multidisciplinaryEngineering, electrical and electronicMathematics, interdisciplinary applicationsMethodology; Order Reduction; Numerator