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Title: Stability of linear systems in second-order form based on structure preserving similarity transformations

This paper deals with two stability aspects of linear systems of the form I ¨ x +B˙ x +Cx = 0 given by the triple (I;B;C). A general transformation scheme is given for a structure and Jordan form preserving transformation of the triple. We investigate how a system can be transformed by suitable choices of the transformation parameters into a new system (I;B1;C1) with a symmetrizable matrix C1. This procedure facilitates stability investigations. We also consider systems with a Hamiltonian spectrum which discloses marginal stability after a Jordan form preserving transformation.
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Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 0044-2275
DOE Contract Number:
Resource Type:
Journal Article
Resource Relation:
Journal Name: Zeitschrift fuer Angewandte Mathematik und Physik; Journal Volume: 66; Journal Issue: 5
Research Org:
Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
Sponsoring Org:
Country of Publication:
United States