Non-probabilistic Eigenvalue Problem for Structures with Uncertain Parameters via Interval Analysis

Chaos, Solitons and Fractals

Volumn 7, Issue 3, 1996, Pages 303-308

  Qiu, Zhiping ^a   Chen, Suhuan ^b   Elishakoff, Isaac ^c  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b JILIN UNIVERSITY   (China)

^c Florida Atlantic Univ   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007485260     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/0960-0779(95)00087-9     Document Type: Article

References (10)

1. Z. C. Shi and W. B. Gao, A necessary and sufficient condition for the positive definitions of interval symmetric matrices, Int. J. Control 41, 325-328 (1986).
2. S. Bialas, A necessary and sufficient condition for the stability of interval matrices, Int. J. Control 37, 717-722 (1983).
3. R. Moore, Methods and Applications of Interval Analysis. SIAM, Philadelphia (1979).
4. A. Deif, Advanced Matrix Theory for Scientists and Engineers, pp. 262-281. Abacus Press (1991).
5. F. C. Schweppe, Uncertain Dynamical Systems. Prentice-Hall, Englewood Cliffs, N.J. (1973).
6. F. C. Schweppe, Recursive state estimation: unknown but bounded errors and system inputs, IEEE Transactions AC-13, 22-28 (1968).
7. Y. Ben-Haim and I. Elishakoff, Dynamics and failure of structures based on the unknown-but-bounded imperfection model, in Recent Advances in Input Dynamics of Engineering Structures, edited by D. Hui and N. Jones, ASME AMD-vol. 105, AD-vol. 17, pp. 89-95 (1989).
8. Y. Ben-Haim, Convexity analysis: a tool for optimization of malfunction isolation, in 25th IEEE Conference on Decision and Control, Athens, Greece, pp. 1570-1575 (1986).
9. C. Hollot and A. Bartlett, On the eigenvalues of interval matrices, Technical Report, Department of Electrical Engineering and Computer Engineering, University of Massachusetts, Amherst, MA (1987).
10. Z. P. Qiu, S. H. Chen and I. Elishakoff, Natural frequencies of structures with uncertain but nonrandom parameters, J. Optimization Theor. Appl. 86, 669-683 (1995).