Inversion of matrix pencils for generalized systems

✍ Scribed by Z. Trzaska; W. Marszalek

• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 663 KB
• Volume: 330
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(93)90094-b

✦ Synopsis

This puper clarljies the nature of' the Leverrier-Faddeev algorithm for generalized and state-space systems. It presents useful diagrams for recursive computation of the coeficients of the characteristic polynomial and the cot@cient matrices of the &joint matrix for various matrix pencils. A simplljied case covers recursive equations and diagrams for inversion of the second-order matrix pencil (Es' + A, s + A,) where E may be singular. The appendix provides two examples of mechanical and heat exchange systems which can be described bj> the generalized models.