On local ISS of nonlinear second-order time-delay systems without damping † - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles International Journal of Robust and Nonlinear Control Year : 2024

On local ISS of nonlinear second-order time-delay systems without damping †

Emilia Fridman
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Abstract

For a second-order system with vector position, either constant or time-varying delays, and a power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local input-to-state stability are proposed. The result is based on application of Lyapunov-Razumikhin approach, for which new time estimates on decay of solutions are obtained. The approach is extended to attitude stabilization of a rigid body, and it is illustrated by simulations.
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Dates and versions

hal-04396969 , version 1 (16-01-2024)

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  • HAL Id : hal-04396969 , version 1

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Alexander Aleksandrov, Denis Efimov, Emilia Fridman. On local ISS of nonlinear second-order time-delay systems without damping †. International Journal of Robust and Nonlinear Control, In press. ⟨hal-04396969⟩
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