The Maximal Eigenvalue and Stability of a Class of Real Symmetric Interval Matrices

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 40, Issue 1, 1993, Pages 56-57

  Hertz, David ^a  

^a RAFAEL   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; MATRIX ALGEBRA; POLYNOMIALS;

HURWITZ STABILITY; REAL SYMMETRIC INTERVAL MATRICES;

SYSTEM STABILITY;

EID: 0027153057     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.215345     Document Type: Article

References (8)

1. N. K. Bose and J. Garloff, “Boundary implications for stability properties: Present status,” in R. E. Moore, Ed., Reliability in Computing: The Role of Interval Methods in Scientific Computing. New York: Academic, 1988, pp. 391–402.
2. D. Hertz, “Root clustering of interval matrices,” Birkhauser Symp. on Fundamentals of Discrete-Time Systems, June 1992.
3. D. Hertz, “The extreme eigenvalues and stability of real symmetric interval matrices,” IEEE Trans. Automat. Contr., Vol. 37, pp. 532-535, Apr. 1992.
4. D. Hertz, “The extreme eigenvalues and stability of hermitian interval matrices,” IEEE Trans. Circuits Syst., Vol. 39, pp. 463-466, June 1992.
5. E. I. Jury, “Robustness of discrete systems: A review,” presented at the 1FAC Committee (Working Group on Robust Control Theory), Mar. 1989.
6. J. Rohn, “Positive definiteness and stability of interval matrices,” Rep. NI-92-05, Numerisk Institut, Denmarks Tekniske Hojskole, 2800 Lyngby, Denmark, Mar. 1992.
7. W. Rudin, Principles of Mathematical Analysis. New York: McGraw-Hill, 1976.
8. L. X. Xin, “Necessary and sufficient conditions for stability of a class of interval matrices,” Int. J. Contr., vol. 45, pp. 211–214, 1987.