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New Stability Criteria for Constant-Coefficient Linear Systems

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Abstract

New coefficient stability criteria are derived from spectral radius estimates and spectral abscissa using the Gershgorin–Ostrovskii localization theorems. That critical eigenvalues have only prime elementary divisors is demonstrated through the use of recently derived estimates for the elements of inverse matrices under the Hadamard and Ostrovskii regularity criteria.

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  1. Voronezh State University, Voronezh, Russia

    A. I. Perov

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  1. A. I. Perov
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Perov, A.I. New Stability Criteria for Constant-Coefficient Linear Systems. Automation and Remote Control 63, 189–199 (2002). https://doi.org/10.1023/A:1014287306173

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