6533b837fe1ef96bd12a3105
RESEARCH PRODUCT
Inversion of matrix pencils for generalized systems
Zdzislaw TrzaskaWieslaw Marszaleksubject
State-transition matrixComputer Networks and CommunicationsApplied MathematicsMathematicsofComputing_NUMERICALANALYSISSingle-entry matrixInversion (discrete mathematics)Matrix (mathematics)Adjugate matrixControl and Systems EngineeringComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONSignal ProcessingCalculusMatrix pencilState spaceApplied mathematicsMathematicsCharacteristic polynomialdescription
Abstract This paper clarifies the nature of the Leverrier-Faddeev algorithm for generalized and state-space systems. It presents useful diagrams for recursive computation of the coefficients of the characteristic polynomial and the coefficient matrices of the adjoint matrix for various matrix pencils. A simplified case covers recursive equations and diagrams for inversion of the second-order matrix pencil (Es2 + A1s + A0) where E may be singular. The appendix provides two examples of mechanical and heat exchange systems which can be described by the generalized models.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-05-01 | Journal of the Franklin Institute |