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- W2099294217 abstract "The problem of computing a real matrix perturbation having a minimum norm which causes a general complex matrix to drop rank is examined. Given the state model describing a linear time-invariant system, the norm of this matrix perturbation helps to determine the robustness of several system properties with respect to real parameter variations. The norm of such a perturbation is known to be a discontinuous function in the space of complex matrices. Aspects of the continuity of the problem are reviewed, and a convergent algorithm is presented. The algorithm computes a sequence of real matrix perturbations. A cluster point of this sequence of matrix perturbations satisfies the necessary condition for being a minimum norm, rank-reducing perturbation for some matrix that is arbitrarily close to the given complex matrix. >" @default.
- W2099294217 created "2016-06-24" @default.
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- W2099294217 date "2002-12-09" @default.
- W2099294217 modified "2023-09-25" @default.
- W2099294217 title "A convergent algorithm for finding a minimum norm real matrix perturbation that reduces the rank of a general complex matrix" @default.
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- W2099294217 doi "https://doi.org/10.1109/cdc.1991.261496" @default.
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