New features of stability of linear systems of differential equations with constant coefficients (Q2262918)
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| Language | Label | Description | Also known as |
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| English | New features of stability of linear systems of differential equations with constant coefficients |
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New features of stability of linear systems of differential equations with constant coefficients (English)
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17 March 2015
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The author considers the stability of linear differential systems \( \dot{x}=Ax,\) \(x\in \mathbb{R}^n, \) with a real constant matrix \(A\) such that all its off-diagonal entries are non-negative. Some conditions for \(A\) to be Hurwitz's, Liapunov's, Dirichlet's matrix are obtained. The results are applied to the systems with constant complex coefficients.
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Liapunov's stability
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Dirichlet's stability
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linear systems with constant coefficients
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off-diagonal non-negative matrix
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