Stability cone for the retarded linear matrix differential equation

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Some surface in the three-dimensional space, named a stability cone is constructed. The necessary and sufficient condition of asymptotic stability of the matrix equation x(t) + Ax(t) + Bx(t - τ) = 0 for random order matrixes which is connected with whether there are the auxiliary points which depend only on A and В matrix eigenvalues and on retardation value in a stability cone is proved. The matrixes А, В are required a joint triangulability.

Retorted differential equations, asymptotic stability, stability cone

Короткий адрес: https://sciup.org/147158645

IDR: 147158645

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