Analysis of robustness of homogeneous systems with time delays using Lyapunov‐Krasovskii functionals

Denis V. Efimov, Alexander Yu. Aleksandrov · International Journal of Robust and Nonlinear Control · 2020

Summary This article is devoted to stability analysis of homogeneous time‐delay systems applying the Lyapunov‐Krasovskii theory, and a generic structure of the functional is given that suits for any homogeneous system of nonzero degree (and can also be used for any dynamics admitting a homogeneous approximation). The obtained stability conditions are utilized to evaluate the domain of attraction for the delayed twisting control algorithm.

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