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

页码：956 / 961

页数：6

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