The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems

被引：0

作者：

Kai En LIU Guo Wei YANG School of Mathematics Qingdao University Shandong P R China Center for Systems and Control College of Engineering Peking University Beijing P R China School of Automation Engineering Qingdao University Shandong P R China ^{[1
,2
,3
,1
,266071
,2
,100871
,3
,266071
]}

机构：

来源：

数学研究与评论 | 2010年 / 30卷 / 01期

关键词：

D O I：

暂无

中图分类号：

O175.13 [稳定性理论];

学科分类号：

摘要：

By using the variational Lyapunov method and Razumikhin technique, the stability criteria in terms of two measures for impulsive delay differential systems are established. The known results are generalized and improved. An example is worked out to illustrate the advantages of the theorems.

引用

页码：67 / 77

页数：11

共 50 条

[1] The Variational Lyapunov Method and Stability for Impulsive Delay Differential Systems
Kai En LIU1
2. Center for Systems and Control
3. School of Automation Engineering
Journal of Mathematical Research with Applications, 2010, (01) : 67 - 77
[2] Variational Lyapunov method and stability analysis for impulsive delay differential equations
Kou, CH
Zhang, S
Duan, YR
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 46 (12) : 1761 - 1777
[3] VARIATIONAL LYAPUNOV METHOD AND STABILITY ANALYSIS FOR PERTURBED SETVALUED IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH DELAY
Ahmad, Bashir
TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (02): : 389 - 401
[4] The method of Lyapunov functionals and exponential stability of impulsive systems with time delay
Liu, Xinzhi
Wang, Qing
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) : 1465 - 1484
[5] Stability Analysis of Impulsive Fractional Functional Systems via Variational Lyapunov Method
Yang Ying
He Yong
Wang Yong
Wu Min
PROCEEDINGS OF THE 35TH CHINESE CONTROL CONFERENCE 2016, 2016, : 10492 - 10497
[6] Stability analysis for impulsive fractional hybrid systems via variational Lyapunov method
Yang, Ying
He, Yong
Wang, Yong
Wu, Min
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 45 : 140 - 157
[7] Impulsive stabilization of delay differential systems via the Lyapunov-Razumikhin method
Wang, Qing
Liu, Xinzhi
APPLIED MATHEMATICS LETTERS, 2007, 20 (08) : 839 - 845
[8] The Method of Lyapunov Function and Exponential Stability of Impulsive Delay Systems with Delayed Impulses
Cheng, Pei
Deng, Feiqi
Wang, Lianglong
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[9] GLOBAL STABILITY OF SETS FOR IMPULSIVE DIFFERENTIAL-SYSTEMS BY LYAPUNOV DIRECT METHOD
KULEV, GK
BAINOV, DD
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (02) : 17 - 28
[10] On the global stability of sets for impulsive differential systems by Lyapunov's direct method
Kulev, G.K., 1600, (05):

← 1 2 3 4 5 →