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TECHNICAL BRIEFS

Symmetrizable Systems in Mechanics and Control Theory

[+] Author and Article Information
W. R. Kliem

Mathematical Institute, The Technical University of Denmark, DK-2800 Lyngby, Denmark

J. Appl. Mech 59(2), 454-456 (Jun 01, 1992) (3 pages) doi:10.1115/1.2899543 History: Received July 11, 1990; Revised December 18, 1990; Online March 31, 2008

Abstract

Stability investigations of nonconservative systems MẌ + BẊ + CX = 0 in mechanics and control theory become substantially easier if the coefficient matrices B and C are either both real symmetric or both complex symmetric. It is therefore of interest to give conditions under which, by means of a similarity transformation, a system may be converted into one of these forms. We discuss the following questions: Are such systems robust with respect to perturbations in the entries of the coefficient matrices? Do relevant applications exist?

Copyright © 1992 by The American Society of Mechanical Engineers
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