New Integral Inequality and Its Application to Time-Delay Systems

2014 ◽  
pp. 31-44
Author(s):  
Alexandre Seuret ◽  
Frédéric Gouaisbaut
Keyword(s):  
Time Delay ◽  
Integral Inequality ◽  
Delay Systems ◽  
Time Delay Systems

Extended Integral Inequality for Stability Analysis of Time-delay Systems

2021 ◽  
Vol 10 (1) ◽  
pp. 37-43
Author(s):  
Tuvshinbayar Chantsalnyam ◽  
Ji-Hyong Ryu ◽  
Kil To Chong
Keyword(s):  
Stability Analysis ◽  
Time Delay ◽  
Integral Inequality ◽  
Delay Systems ◽  
Time Delay Systems

scholarly journals Refined Jensen-Based Multiple Integral Inequality and Its Application to Stability of Time-Delay Systems

2018 ◽  
Vol 5 (3) ◽  
pp. 758-764 ◽  
Author(s):  
Jidong Wang ◽  
Zhanshan Wang ◽  
Sanbo Ding ◽  
Huaguang Zhang
Keyword(s):  
Time Delay ◽  
Integral Inequality ◽  
Multiple Integral ◽  
Delay Systems ◽  
Time Delay Systems

scholarly journals A New Integral Inequality and Delay-Decomposition with Uncertain Parameter Approach to the Stability Analysis of Time-Delay Systems

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Haiyang Zhang ◽  
Lianglin Xiong ◽  
Qing Miao ◽  
Yanmeng Wang ◽  
Chen Peng
Keyword(s):  
Time Delay ◽  
Integral Inequality ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Decomposition Approach ◽  
Delay Decomposition Approach ◽  
The Stability ◽  
Delay Dependent ◽  
Delay Dependent Stability ◽  
Delay Decomposition

This paper is concerned with the problem of delay-dependent stability of time-delay systems. Firstly, it introduces a new useful integral inequality which has been proved to be less conservative than the previous inequalities. Next, the inequality combines delay-decomposition approach with uncertain parameters applied to time-delay systems, based on the new Lyapunov-Krasovskii functionals and new stability criteria for system with time-delay have been derived and expressed in terms of LMIs. Finally, a numerical example is provided to show the effectiveness and the less conservative feature of the proposed method compared with some recent results.

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