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This document presents a proof of the Kharitonov theorem using Bezoutians, addressing the behavior of sliding mode controllers under nonmatching disturbances. It establishes that the theorem remains valid even when there is a degree drop in the polynomial family. The findings ensure that the stability conditions for Hurwitz polynomials are maintained, expanding the applicability of the Kharitonov theorem in control systems.

Author

nguyenhoangthanh

Language

EN