Journal article
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 Ix¨+Bx˙+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, B 1, C 1) with a symmetrizable matrix C 1.
This procedure facilitates stability investigations. We also consider systems with a Hamiltonian spectrum which discloses marginal stability after a Jordan form preserving transformation.
Language: | English |
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Publisher: | Springer Basel |
Year: | 2015 |
Pages: | 2909-2919 |
Journal subtitle: | Journal of Applied Mathematics and Physics / Journal De Mathématiques Et De Physique Appliquées |
ISSN: | 14209039 and 00442275 |
Types: | Journal article |
DOI: | 10.1007/s00033-015-0548-4 |
ORCIDs: | 0000-0001-9202-3135 |