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摘要:
Certain classes of essentially nonlinear nonstationary systems are studied. With the aid of the Lyapunov direct method and the averaging technique, conditions are obtained under which the zero solutions of the considered systems are stable with respect to all variables and asymptotically stable with respect to a part of variables. It is shown that the proposed approach can be used for the stability analysis of equilibrium positions of nonlinear mechanical systems. Some examples are presented to demonstrate the effectiveness of our results.
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