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

Alexander Aleksandrov; Denis Efimov; Emilia Fridman

doi:10.1002/rnc.7227

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

Alexander Aleksandrov, Denis Efimov, Emilia Fridman

School of Electrical Engineering

Tel Aviv University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	6329-6345
Number of pages	17
Journal	International Journal of Robust and Nonlinear Control
Volume	34
Issue number	10
DOIs	https://doi.org/10.1002/rnc.7227
State	Published - 10 Jul 2024

Keywords

Lyapunov-Razumikhin function
input-to-state stability
time-delay systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
General Chemical Engineering
Biomedical Engineering
Aerospace Engineering
Mechanical Engineering
Industrial and Manufacturing Engineering
Electrical and Electronic Engineering

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10.1002/rnc.7227

Cite this

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title = "On local ISS of nonlinear second-order time-delay systems without damping",

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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AU - Aleksandrov, Alexander

AU - Efimov, Denis

AU - Fridman, Emilia

PY - 2024/7/10

Y1 - 2024/7/10

N2 - 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.

AB - 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.

KW - Lyapunov-Razumikhin function

KW - input-to-state stability

KW - time-delay systems

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U2 - 10.1002/rnc.7227

DO - 10.1002/rnc.7227

M3 - مقالة

SN - 1049-8923

VL - 34

SP - 6329

EP - 6345

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

IS - 10

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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