On Stability of Motion of Polynomial Systems with Aftereffect*

被引：0

作者：

A. A. Marnynyuk

V. O. Chernienko

机构：

[1] S. P. Timoshenko Institute of Mechanics,

[2] National Academy of Sciences of Ukraine,undefined

来源：

International Applied Mechanics | 2022年 / 58卷

关键词：

polynomial system with aftereffect; method of Lyapunov functionals; method of Lyapunov–Razumikhin functions; stability; boundedness;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Sufficient conditions for the stability and boundedness of the solutions of a polynomial system with aftereffect are established based on new estimates of the Lyapunov functional (function). The results obtained are applied to a polynomial system with an aftereffect of special form and the problem of the stability of a cubic polynomial system on a finite interval.

引用

页码：373 / 380

页数：7

共 8 条

[1]

Martynyuk AA(2020)Sufficient conditions for the stability of motion of polynomial systems Int. Appl. Mech. 56 13-20

[2]

Chernienko VA(2018)Constructive estimation of the Lyapunov function for quadratic nonlinear systems Int. Appl. Mech. 54 346-357

[3]

Martynyuk AA(2009)Stability of some polynomial equations with delay Func. Diff. Equation 16 561-578

[4]

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