Necessary and sufficient conditions for stability of symmetric interval matrices

International Journal of Control

Volumn 51, Issue 1, 1990, Pages 243-248

  Soh, C B ^a  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES--MATRIX ALGEBRA; SYSTEM STABILITY;

HURWITZ STABILITY; SYMMETRIC INTERVAL MATRICES; TIME-INVARIANT DISCRETE TIME SYSTEM; VERTEX MATRICES;

CONTROL SYSTEMS, LINEAR;

EID: 0025211176     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207179008934060     Document Type: Article

References (10)

1. BARMISH, B. R., and HOLLOT, C. V., 1984, Counter-example to a recent result on the stability of interval matrices by S. Bialas. International Journal of Control, 39, 1103-1104.
2. BIALAS, S., 1983, A necessary and sufficient condition for the stability of interval matrices. International Journal of Control, 37, 717-722.
3. FU, M., and BARMISH, B. R., 1987, Stability of convex and linear combinations of polynomials and matrices arising in robustness problems. Proceedings of the Conference on Information Science Systems, Baltimore, MD, U.S.A.
4. JIANG, C. I., 1988. Sufficient and necessary conditions for the asymptotic stability of discrete linear interval systems. International Journal of Control, 47, 1563-1565.
5. JURY, E. I., 1974, lnners and Stability of Dynamic Systems(New York: Wiley)
6. KARL, W. C, GRESCHAK, J. P., and VERGEHESEG, C., 1984, Comments on A necessary and sufficient condition for the stability of interval matrices. International Journal of Control, 39, 849-851.
7. LANCASTER, P., and TISNEMETSKY, M., 1985, The Theory of Matrices, 2nd edition (Orlando: Academic Press).
8. MORI, T., and KOKAME, H., 1987, Convergence property of interval matrices and interval polynomials. International Journal of Control, 45, 481-484.
9. SHI, Z. C, and GAO, W. B., 1986, A necessary and sufficient condition for the positive-definiteness of interval symmetric matrices. International Journal of Control, 43, 325-328.
10. SOH, C. B., 1989, Counter-example to a recent result on the stability of interval matrices by C. J. Jiang. International Journal of Control, 49, 1107-1108