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The Research of the Determined Chaotic Mode Of Electrotechnical Systems with the Generating Sources by Velocity Gradient Method of Vector Lyapunov Functions

The article suggests a method for researching the deterministic chaotic mode of an electrotechnical system with generating sources by velocity gradient method of vector Lyapunov functions. Unregulated electrotechnical system is considered. The condition of robust stability of the existing stationary state is obtained in the form of a system of inequalities for the uncertain parameters of the electrotechnical system with generating sources (ETS GS). It is seen on the simulation system of ETS GS, that a deterministic chaos mode with the formation of a “strange attractor” generated in the system when uncertain parameters locate beyond the limits of robust stability.