A method of stability analysis of nonlinear large-scale systems |
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Authors: | A. A. Martynyuk P. V. Mullazhonov |
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Affiliation: | 1.S. P. Timoshenko Institute of Mechanics,National Academy of Sciences of Ukraine,Kyiv,Ukraine;2.Andijan State University,Andijan,Uzbekistan |
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Abstract: | Results of stability analysis of some classes of perturbed equations of motion are presented. Sufficient conditions for the asymptotic stability in the large and instability of the equilibrium state of large-scale systems are established using a quadratic Lyapunov function. Some results are illustrated by examples of fourth-order systems |
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