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A necessary and sufficient condition for the stability of interval matrices. (English) Zbl 0518.93052


MSC:

93D99 Stability of control systems
65G30 Interval and finite arithmetic
93C05 Linear systems in control theory
93C99 Model systems in control theory
26C99 Polynomials, rational functions in real analysis
15A15 Determinants, permanents, traces, other special matrix functions
15A18 Eigenvalues, singular values, and eigenvectors
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References:

[1] CHARITONOV V. L., Differencjalnyje Uravnenija 14 pp 2086– (1978)
[2] GANTMACHER F. R., The Theory of Matrices (1959) · Zbl 0085.01001
[3] MOORE R. E., Interval Analysis (1960)
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