IEEE Transactions on Automatic Control · 1992 · 27 citations · 3 references
Natural SciencesComputer SystemsCondition AssessmentFault-tolerant SystemsMethod ValidationEigenvalue ProblemsMatrix ComputationNumerical StabilityStabilityStability CriteriaStability TheoryEigenvalue BoundsEigenvalue Stability AnalysisEigenvaluesSystem StabilityUpper Bound Computation
C.V. Hollot and A.C. Bartlett (1987) showed that testing at most 2 to the n/sup 2/ certain matrices for stability is sufficient for verifying stability of an n*n interval matrix with real eigenvalues. It is proven that this upper bound can be reduced to 2/sup 2n-1/, and a special case where testing only two matrices is needed is considered.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Systems of linear interval equations
Linear Algebra and its Applications · 1989 · 376 citations
On the eigenvalues of interval matrices
C.V. Hollot, Andrew Bartlett · 1987 · 37 citations