Stability of three-parameter systems of two linear differential equations with delay. II (Q2285210)
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| Language | Label | Description | Also known as |
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| English | Stability of three-parameter systems of two linear differential equations with delay. II |
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Stability of three-parameter systems of two linear differential equations with delay. II (English)
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16 January 2020
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The paper studies the stability of the linear delay-differential equation \[ \dot x(t)=Ax(t)+Bx(t-\tau) \] with \(x\in\mathbb{R}^2\) and 2 x 2 matrices \(A\) and \(B\). This system possesses, in general, 8 parameters (coefficients of the matrices). In this paper, various cases with only 3 parameters are investigated. Using the \( D\)-subdivision method, the corresponding characteristic eqautions are studied and conditions for stability are given. For Part I, see [the author, ibid. 16, 2019--2054 (2019; Zbl 1484.34159)].
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system of differential equations with delay
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autonomous equations
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stability domain
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\(D\)-subdivision method
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