Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems
查看参考文献34篇
文摘
|
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. |
来源
|
IEEE/CAA Journal of Automatica Sinica
,2018,5(3):758-764 【核心库】
|
DOI
|
10.1109/JAS.2018.7511087
|
地址
|
1.
College of Information Science and Engineering, Northeastern University, Shenyang, 110819
2.
State Key Laboratory of Synthetical Automation for Process Industries, State Key Laboratory of Synthetical Automation for Process Industries, Shenyang, 110819
|
语种
|
英文 |
文献类型
|
研究性论文 |
ISSN
|
2329-9266 |
学科
|
数学 |
基金
|
SAPI Fundamental Research Funds
;
国家自然科学基金
|
文献收藏号
|
CSCD:6219963
|
参考文献 共
34
共2页
|
1.
Niculescu S L.
Delay Effects on Stability: A Robust Control Approach,2001
|
CSCD被引
5
次
|
|
|
|
2.
Gu K Q.
Stability of Time-Delay Systems,2003
|
CSCD被引
37
次
|
|
|
|
3.
Fridman E. "Tutorial on Lyapunov-based methods for time-delay systems".
Eur. J. Control,2014,20(6):271-283
|
CSCD被引
3
次
|
|
|
|
4.
Wang Z S.
Qualitative Analysis and Control of Complex Neural Networks with Delays,2015
|
CSCD被引
1
次
|
|
|
|
5.
Pasand M M S. "Structural properties, LQG control and scheduling of a networked control system with bandwidth limitations and transmission delays".
IEEE/CAA J. of Autom. Sinica,2017
|
CSCD被引
1
次
|
|
|
|
6.
Sun Y H. "Robust Hqo load frequency control of multi-area power system with time delay: A sliding mode control approach".
IEEE/CAA J. of Autom. Sinica,2018,5(2):610-617
|
CSCD被引
1
次
|
|
|
|
7.
Zeng H B. "New results on stability analysis for systems with discrete distributed delay".
Automatica,2015,60:189-192
|
CSCD被引
21
次
|
|
|
|
8.
Wang Z S. "Stability criteria for recurrent neural networks with time-varying delay based on secondary delay partitioning method".
IEEE Trans. Neural Networks Learn. Syst,2015,26(10):2589-2595
|
CSCD被引
5
次
|
|
|
|
9.
Jiang Y L. Globally Exponential Stability of Memristive Neural Networks With Time-varying Delays and Synchronous Switching.
Acta Autom. Sinica,2017,43(8):1465-1469
|
CSCD被引
1
次
|
|
|
|
10.
Li X D. "Stabilization of delay systems: delay-dependent impulsive control".
IEEE Trans. Autom. Control,2017,62(1):406-411
|
CSCD被引
9
次
|
|
|
|
11.
Li X D. "Stability of nonlinear differential systems with state-dependent delayed impulses".
Automatica,2016,64:63-69
|
CSCD被引
5
次
|
|
|
|
12.
Han Q L. "A discrete delay decomposition approach to stability of linear retarded and neutral systems".
Automatica,2009,45(2):517-524
|
CSCD被引
27
次
|
|
|
|
13.
Liu Y J. "A study on H_∞ state estimation of static neural networks with time-varying delays".
Appl. Math. Comput,2014,226:589-597
|
CSCD被引
1
次
|
|
|
|
14.
Kolmanovskii V B. "On the Liapunov-Krasovskii functionals for stability analysis of linear delay systems".
Int. J. Control,1999,72(4):374-384
|
CSCD被引
14
次
|
|
|
|
15.
Zhang Y. "New result on delay-dependent stability for Markovian jump time-delay systems with partial information on transition probabilities".
IEEE/CAA J. of Autom. Sinica
|
CSCD被引
1
次
|
|
|
|
16.
Zhang H G. "Stability analysis for linear delayed systems via an optimally dividing delay interval approach".
Automatica,2011,47(9):2126-2129
|
CSCD被引
4
次
|
|
|
|
17.
Zhang C K. "Stability analysis of systems with time-varying delay via relaxed integral inequalities".
Syst. Control Lett,2016,92:52-61
|
CSCD被引
10
次
|
|
|
|
18.
Zhang H G. "A comprehensive review of stability analysis of continuous-time recurrent neural networks".
IEEE Trans. Neural Networks Learn. Syst,2014,25(7):1229-1262
|
CSCD被引
28
次
|
|
|
|
19.
Liu L. "Adaptive neural network control for a DC motor system with dead-zone".
Nonlinear Dyn,2013,72(1/2):141-147
|
CSCD被引
2
次
|
|
|
|
20.
Liu Y J. "Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems".
Automatica,2017,76:143-152
|
CSCD被引
20
次
|
|
|
|
|