On stability of second-order nonlinear time-delay systems without damping

被引：0
|
作者：
Aleksandrov, A. [1 ,2 ]
Efimov, D. [3 ,4 ]
Fridman, E. [5 ]
机构：
[1] St Petersburg State Univ, 7-9 Univ Skaya Nab, St Petersburg 199034, Russia
[2] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
[3] Univ Lille, CNRS, Inria, UMR 9189,CRIStAL, F-59000 Lille, France
[4] ITMO Univ, 49 Ave Kronverkskiy, St Petersburg 197101, Russia
[5] Tel Aviv Univ, Sch Elect Engn, IL-69978 Tel Aviv, Israel
来源：
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC | 2023年
关键词：
FEEDBACK STABILIZATION; EXPONENTIAL STABILITY;
D O I：
10.1109/CDC49753.2023.10383764
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：956 / 961
页数：6
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