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Conference Papers Year : 2023

On stability of second-order nonlinear time-delay systems without damping

Alexander Aleksandrov
Emilia Fridman
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Abstract

For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov-Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.
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hal-04390334 , version 1 (12-01-2024)

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  • HAL Id : hal-04390334 , version 1

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Alexander Aleksandrov, Denis Efimov, Emilia Fridman. On stability of second-order nonlinear time-delay systems without damping. CDC 2023 - 62nd IEEE Conference on Decision and Control, Dec 2023, Singapore, Singapore. ⟨hal-04390334⟩
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