### Stability of a linear oscillator with variable parameters.

Ignatyev, Alexander O. (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Ignatyev, Alexander O. (1997)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Kybernetika

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In this paper, stability of linear neutral systems with distributed delay is investigated. A bounded half circular region which includes all unstable characteristic roots, is obtained. Using the argument principle, stability criteria are derived which are necessary and sufficient conditions for asymptotic stability of the neutral systems. The stability criteria need only to evaluate the characteristic function on a straight segment on the imaginary axis and the argument on the boundary...