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Stability of the Trinomial Linear Difference Equations with Two Delays

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Abstract

For the zero solution of the difference equation x(n) = ax(n - m) + bx(n - k) with arbitrary delays k, m, the formulas of the stability domain boundaries were derived. For different k and m, the stability domains were compared in the quadrants of the plane (a, b).

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  1. Chelyabinsk State Pedagogical University, Chelyabinsk, Russia

    M. M. Kipnis & R. M. Nigmatullin

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  1. M. M. Kipnis
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  2. R. M. Nigmatullin
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Kipnis, M.M., Nigmatullin, R.M. Stability of the Trinomial Linear Difference Equations with Two Delays. Automation and Remote Control 65, 1710–1723 (2004). https://doi.org/10.1023/B:AURC.0000047886.46498.79

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  • DOI: https://doi.org/10.1023/B:AURC.0000047886.46498.79

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