On qualitative properties of differential-algebraic equations |
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| Authors: | V F Chistyakov T D Phuong |
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| Institution: | 1. Institute of Dynamics of Systems and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, Russia
2. Hanoi Institute of Mathematics, Hanoi, Vietnam
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| Abstract: | Linear systems of ordinary differential equations with identically degenerate coefficient matrix before the derivative of the unknown vector function are considered. The structure of general solutions and the notion of singular point of such systems are discussed. From the comparison of the properties of the “perturbed” and original problems, a sufficient criterion for the Lyapunov asymptotic stability of the zero solution is obtained. |
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