TY - JOUR
T1 - On local ISS of nonlinear second-order time-delay systems without damping
AU - Aleksandrov, Alexander
AU - Efimov, Denis
AU - Fridman, Emilia
N1 - Publisher Copyright:
© 2024 John Wiley & Sons Ltd.
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 - http://www.scopus.com/inward/record.url?scp=85183910610&partnerID=8YFLogxK
U2 - 10.1002/rnc.7227
DO - 10.1002/rnc.7227
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AN - SCOPUS:85183910610
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 -