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Mathematical models of control by the interconnected mechanical and thermal processes in nonlinear dynamic systems disturbed by temperature effects

Victor Dzhashitov, Vladimir M. Pankratov
The opportunity of control by the interconnected mechanical and thermal processes in nonlinear disturbed dynamic systems is proved, both at their irregular movements, and at parametrical temperature indignations. Conditions on parameters of systems and the control providing stability of stationary points are re-ceived. It is shown, that it is possible to provide a regularity of chaotic fluctuations and is also possible to provide a control of fluctuations when take place parametrical temperature distur-bances by a choice of parameters of the connected thermal and mechanical subsystems. For control by the interconnected me-chanical and thermal processes it is necessary to include into feedback of a mechanical subsystem a signal proportional to temperature difference. The quantitative estimations confirming the qualitative analysis of constructed mathematical models are received.
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