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RESEARCH PAPERS

Direct and Inverse Transformations Between Phase Variable and Canonical Forms

[+] Author and Article Information
R. R. Beck

U.S. Army Tank-Automotive Command, Warren, Mich.

G. M. Lance

Department of Mechanical Engineering, The University of Iowa, Iowa City, Iowa

J. Dyn. Sys., Meas., Control 94(4), 315-318 (Dec 01, 1972) (4 pages) doi:10.1115/1.3426613 History: Received August 02, 1972; Online July 13, 2010

Abstract

A complete, general treatment of the transformations, direct and inverse, between the phase variable form and the canonical or Jordan canonical form of the system matrix is presented. Analytical expressions are obtained for the matrices and all combinations of real, complex, distinct, and repeated eigenvalues are covered.

Copyright © 1972 by ASME
Topics: Eigenvalues
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