Application of Lyapunov’s direct method to the study of the stability of solutions to systems of impulsive differential equations

Author:

Dvirnyi A. I.,Slyn’ko V. I.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference16 articles.

1. A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations (Vysshcha Shkola, Kiev, 1987) [in Russian].

2. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equations, in Ser. Modern Appl. Math. (World Sci. Publ., Singapore, 1989), Vol. 6.

3. X. Liu and A. Willms, “Stability analysis and applications to large-scale impulsive systems: a new approach,” Canad. Appl. Math. Quart. 3(4), 419–444 (1995).

4. M. O. Perestyuk and O. S. Chernikova, “Some modern aspects of the theory of impulsive differential equations,” Ukrainian Math. J., No. 1, 91–107 (2008).

5. N. A. Perestyuk, “To the question of the stability of the position of the equilibrium of the impulsive systems,” Godishn. Vissh. Uchebn. Zaved. Prilozh. Matem. 1(1), 145–151 (1975).

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Stability conditions of the small-gain type for a coupled weakly non-linear impulsive system with constant dwell-time;2023 European Control Conference (ECC);2023-06-13

2. Instability of dynamical systems subjected to impulsive actions.;2023 European Control Conference (ECC);2023-06-13

3. Stability conditions for impulsive dynamical systems;Mathematics of Control, Signals, and Systems;2021-09-22

4. On the Dynamic Stability of Impulsive Mechanical Systems with Delay;Journal of Mathematical Sciences;2020-03-06

5. Sufficient Conditions of Interval Stability of a Class of Linear Impulsive Systems with a Delay;Journal of Computer and Systems Sciences International;2020-01

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3