№1 (40), 2017. INFORMATION TECHNOLOGY, COMPUTER SCIENCE AND CONTROL

Ogurtsov A.I.

Conditions of stability of the unperturbed motion of a certain nonlinear system

The perturbed motion of a material system with two nonlinear characteristics described by a system of differential equations, is investigated. Effective sufficient conditions for stability of the zero solution of this system are established by means of multi-parameter Lyapunov function.

Keywords: differential equations, stability of motion, functions Lyapunov.

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