TY - GEN
T1 - On Stability of Second-Order Nonlinear Time-Delay Systems Without Damping
AU - Aleksandrov, A.
AU - Efimov, D.
AU - Fridman, E.
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov- Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.
AB - For a second-order system with time delays and power nonlinearity of the degree higher than one, which does not contain a velocity-proportional damping term, the conditions of local asymptotic stability of the zero solution are proposed. The result is based on application of the Lyapunov- Razumikhin approach, and it is illustrated by simulations. Our local stability conditions for nonlinear systems are less restrictive than stability conditions of the corresponding linear models.
UR - http://www.scopus.com/inward/record.url?scp=85184817262&partnerID=8YFLogxK
U2 - 10.1109/CDC49753.2023.10383764
DO - 10.1109/CDC49753.2023.10383764
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AN - SCOPUS:85184817262
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 956
EP - 961
BT - 2023 62nd IEEE Conference on Decision and Control, CDC 2023
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 62nd IEEE Conference on Decision and Control, CDC 2023
Y2 - 13 December 2023 through 15 December 2023
ER -