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Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2024

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

Emilia Fridman
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Résumé

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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Automatique
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Dates et 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, inPress. ⟨hal-04396969⟩
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