Stability analysis of a nonlinear automatic control system with time-delayed feedback

The objective of this article is to present a methodology for solving the problems posed in the dissertation, using as an example the analysis of the stability of a nonlinear automatic control system with continuous control featuring a delay in the feedback structure, as well as with discrete control. To establish the asymptotic stability of the closed-loop system, the Razumikhin transformation was employed, yielding constraints on the maximum allowable delay in the feedback system.

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