| Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems | |
| Alternative Title | Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems |
| Wang Jidong1; Wang Zhanshan1; Ding Sanbo1; Zhang Huaguang1 | |
| 2018 | |
| Source Publication | IEEE-CAA JOURNAL OF AUTOMATICA SINICA
 |
| ISSN | 2329-9266 |
| Volume | 5Issue:3Pages:758-764 |
| Abstract | This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional (LKF) with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results. |
| Other Abstract | This paper investigates the stability of time-delay systems via a multiple integral approach. Based on the refined Jensen-based inequality, a novel multiple integral inequality is proposed. Applying the multiple integral inequality to estimate the derivative of Lyapunov-Krasovskii functional（LKF） with multiple integral terms, a novel stability condition is formulated for the linear time-delay systems. Two numerical examples are employed to demonstrate the improvements of our results. |
| Keyword | BARRIER LYAPUNOV FUNCTIONS ADAPTIVE-CONTROL FUNCTIONALS Multiple integral approach refined Jensen-based multiple integral inequality (RJMII) stability analysis time-delay systems |
| Indexed By | CSCD |
| Language | 英语 |
| Funding Project | [National Natural Science Foundation of China] ; [SAPI Fundamental Research Funds] |
| CSCD ID | CSCD:6219963 |
| Citation statistics |
Cited Times:2[CSCD]
[CSCD Record]
|
| Document Type | 期刊论文 |
| Identifier | http://ir.imr.ac.cn/handle/321006/145443 |
| Collection | 中国科学院金属研究所 |
| Affiliation | 1.东北大学 2.中国科学院金属研究所 3.North China University Water Resources & Elect Power, Coll Elect Engn, Zhengzhou 450011, Henan, Peoples R China |
| Recommended Citation GB/T 7714 | Wang Jidong,Wang Zhanshan,Ding Sanbo,et al. Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems[J]. IEEE-CAA JOURNAL OF AUTOMATICA SINICA,2018,5(3):758-764. |
| APA | Wang Jidong,Wang Zhanshan,Ding Sanbo,&Zhang Huaguang.(2018).Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems.IEEE-CAA JOURNAL OF AUTOMATICA SINICA,5(3),758-764. |
| MLA | Wang Jidong,et al."Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems".IEEE-CAA JOURNAL OF AUTOMATICA SINICA 5.3(2018):758-764. |
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