TY - JOUR

T1 - On local ISS of nonlinear second-order time-delay systems without damping

AU - Александров, Александр Юрьевич

AU - Efimov, Denis V.

AU - Fridman, E.

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

UR - https://www.mendeley.com/catalogue/a668a4f4-fda5-32ae-a2c1-02544305fe0f/

U2 - 10.1002/rnc.7227

DO - 10.1002/rnc.7227

M3 - Article

VL - 34

SP - 6329

EP - 6345

JO - International Journal of Robust and Nonlinear Control

JF - International Journal of Robust and Nonlinear Control

SN - 1049-8923

IS - 10

ER -