Vengono discusse delle condizioni sufficienti affinchè una matrice reale delle dimensioni sia diagonalmente (o -) stabile. Esse includono delle ipotesi geometriche (condizioni degli ortanti), e un criterio che generalizza un criterio di Carlson. Inoltre si discute la -stabilità robusta per le matrici reali delle dimensioni
@article{BUMI_1999_8_2B_2_299_0, author = {Russell Johnson and Alberto Tesi}, title = {On the $D$-stability problem for real matrices}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2-A}, year = {1999}, pages = {299-314}, zbl = {0936.15014}, mrnumber = {1706600}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_2_299_0} }
Johnson, Russell; Tesi, Alberto. On the $D$-stability problem for real matrices. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 299-314. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_2_299_0/
[1] Strong -stability, Syst. Contr. Lett., 7 (1986), 207-212. | MR 847892 | Zbl 0597.34049
,[2] A note on dynamic stability, Econometrica, 26 (1958), 448-454. | MR 103767 | Zbl 0107.37201
- ,[3] The inertia of diagonal multiples of real matrices, Lin. Algebra Appl., 18 (1977), 267-280. | MR 573019 | Zbl 0379.15004
- ,[4] Real -stable matrices, J. Res. Nat. Bur. Standards, Sec. B, 80 (1976), 75-77. | MR 419478 | Zbl 0341.15009
,[5] A class of positive stable matrices, J. Res. Nat. Bur. Standards, Sec. B, 78 (1974), 1-2. | MR 332834 | Zbl 0281.15020
,[6] On -stability and structured singular values, Sys. Cont. Lett., 24 (1995), 19-24. | MR 1307123 | Zbl 0877.93079
- - ,[7] A theorem on expectations and the stability of equilibrium, Econometrica, 24 (1956), 288-293. | MR 85963 | Zbl 0074.15001
- ,[8] On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J., 12 (1962), 382-400. | MR 142565 | Zbl 0131.24806
- ,[9] Some generalizations of positive definiteness and monotonicity, Numerische Mathematike, 9 (1966), 163-172. | MR 209309 | Zbl 0148.25801
- ,[10] | Zbl 0927.15001
, The theory of matrices, Vols. I-II, Chelsea, New York (1960).[11] Recent directions in matrix stability, Lin. Algebra Appl., 171 (1992), 161-186. | MR 1165452 | Zbl 0759.15010
,[12] Sufficient conditions for -stability, J. Economic Theory, 9 (1974), 53-62. | MR 463213
,[13] -stability and multi-parameter singular perturbations, SIAM J. Cont. Opt., 17 (1979), 59-65. | MR 516856 | Zbl 0403.93026
- ,[14] 1965. | MR 197234 | Zbl 0193.34701
, Algebra, Addison-Welsey, Reading, Mass.,[15] A new decision method for elementary algebra, Ann. Math., 60 (1954), 365-374. | MR 63994 | Zbl 0056.01804
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