The $D$-stability problem for $4\times 4$ real matrices
Archivum mathematicum, Tome 41 (2005) no. 4, pp. 439-450
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We give detailed discussion of a procedure for determining the robust $D$-stability of a $4\times 4$ real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
Classification :
15A04, 15A18, 34D15, 65F15, 93D09
Keywords: diagonal stability; Cauchy indices
Keywords: diagonal stability; Cauchy indices
@article{ARM_2005__41_4_a7,
author = {Impram, Serkan T. and Johnson, Russell and Pavani, Raffaella},
title = {The $D$-stability problem for $4\times 4$ real matrices},
journal = {Archivum mathematicum},
pages = {439--450},
publisher = {mathdoc},
volume = {41},
number = {4},
year = {2005},
mrnumber = {2195496},
zbl = {1122.15003},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ARM_2005__41_4_a7/}
}
TY - JOUR AU - Impram, Serkan T. AU - Johnson, Russell AU - Pavani, Raffaella TI - The $D$-stability problem for $4\times 4$ real matrices JO - Archivum mathematicum PY - 2005 SP - 439 EP - 450 VL - 41 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ARM_2005__41_4_a7/ LA - en ID - ARM_2005__41_4_a7 ER -
Impram, Serkan T.; Johnson, Russell; Pavani, Raffaella. The $D$-stability problem for $4\times 4$ real matrices. Archivum mathematicum, Tome 41 (2005) no. 4, pp. 439-450. http://geodesic.mathdoc.fr/item/ARM_2005__41_4_a7/