On the D -stability problem for real matrices

Russell Johnson; Alberto Tesi

Bollettino dell'Unione Matematica Italiana (1999)

  • Volume: 2-B, Issue: 2, page 299-314
  • ISSN: 0392-4041

How to cite

top

Johnson, Russell, and Tesi, Alberto. "On the $D$-stability problem for real matrices." Bollettino dell'Unione Matematica Italiana 2-B.2 (1999): 299-314. <http://eudml.org/doc/196106>.

@article{Johnson1999,
author = {Johnson, Russell, Tesi, Alberto},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {polynomial equations; Carlson's condition; robustness; -stability; eigenvalues; orthant condition; inequalities},
language = {eng},
month = {6},
number = {2},
pages = {299-314},
publisher = {Unione Matematica Italiana},
title = {On the $D$-stability problem for real matrices},
url = {http://eudml.org/doc/196106},
volume = {2-B},
year = {1999},
}

TY - JOUR
AU - Johnson, Russell
AU - Tesi, Alberto
TI - On the $D$-stability problem for real matrices
JO - Bollettino dell'Unione Matematica Italiana
DA - 1999/6//
PB - Unione Matematica Italiana
VL - 2-B
IS - 2
SP - 299
EP - 314
LA - eng
KW - polynomial equations; Carlson's condition; robustness; -stability; eigenvalues; orthant condition; inequalities
UR - http://eudml.org/doc/196106
ER -

References

top
  1. ABED, E. H., Strong D -stability, Syst. Contr. Lett., 7 (1986), 207-212. Zbl0597.34049MR847892
  2. ARROW, K.- MCMANUS, M., A note on dynamic stability, Econometrica, 26 (1958), 448-454. Zbl0107.37201MR103767
  3. BAHL, C.- CAIN, B., The inertia of diagonal multiples of 3 × 3 real matrices, Lin. Algebra Appl., 18 (1977), 267-280. Zbl0379.15004MR573019
  4. CAIN, B., Real 3 × 3 D -stable matrices, J. Res. Nat. Bur. Standards, Sec. B, 80 (1976), 75-77. Zbl0341.15009MR419478
  5. CARLSON, D., A class of positive stable matrices, J. Res. Nat. Bur. Standards, Sec. B, 78 (1974), 1-2. Zbl0281.15020MR332834
  6. CHEN, J.- FAN, M. K. H.- YU, C.-C., On D -stability and structured singular values, Sys. Cont. Lett., 24 (1995), 19-24. Zbl0877.93079MR1307123
  7. ENTHOVEN, A.- ARROW, K., A theorem on expectations and the stability of equilibrium, Econometrica, 24 (1956), 288-293. Zbl0074.15001MR85963
  8. FIEDLER, M.- PTAK, V., On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J., 12 (1962), 382-400. Zbl0131.24806MR142565
  9. FIEDLER, M.- PTAK, V., Some generalizations of positive definiteness and monotonicity, Numerische Mathematike, 9 (1966), 163-172. Zbl0148.25801MR209309
  10. GANTMACHER, B., The theory of matrices, Vols. I-II, Chelsea, New York (1960). Zbl0927.15001
  11. HERSHKOWITZ, D., Recent directions in matrix stability, Lin. Algebra Appl., 171 (1992), 161-186. Zbl0759.15010MR1165452
  12. JOHNSON, C., Sufficient conditions for D -stability, J. Economic Theory, 9 (1974), 53-62. MR463213
  13. KHALIL, H.- KOKOTOVIC, P., D -stability and multi-parameter singular perturbations, SIAM J. Cont. Opt., 17 (1979), 59-65. Zbl0403.93026MR516856
  14. LANG, S., Algebra, Addison-Welsey, Reading, Mass., 1965. Zbl0193.34701MR197234
  15. SEIDENBERG, A., A new decision method for elementary algebra, Ann. Math., 60 (1954), 365-374. Zbl0056.01804MR63994

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.