scholarly journals A Novel Generalized Integral Inequality Based on Free Matrices for Stability Analysis of Time-Varying Delay Systems

IEEE Access ◽  
2020 ◽  
Vol 8 ◽  
pp. 179772-179777
Author(s):  
Jun Hui Lee ◽  
In Seok Park ◽  
Poogyeon Park
Keyword(s):  
Stability Analysis ◽  
Integral Inequality ◽  
Delay Systems ◽  
Time Varying ◽  
Time Varying Delay ◽  
Varying Delay

scholarly journals Stability Analysis of Time-Varying Delay Systems with an Improved Type of LKF

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Wenhao Wang ◽  
Hong Zhu ◽  
Kaibo Shi ◽  
Shouming Zhong ◽  
Can Zhao
Keyword(s):  
Stability Analysis ◽  
Linear System ◽  
Mathematical Analysis ◽  
Valid Inequalities ◽  
Time Correlation ◽  
Delay Systems ◽  
Time Varying ◽  
Analysis Techniques ◽  
Time Varying Delay ◽  
Varying Delay

This paper further investigates the problem of stability for a general linear system with time-varying delays. Firstly an improved type of Lyapunov–Krasovskii functional is introduced with integral and nonintegral terms and time-correlation terms. Referring a few existing papers, some valid inequalities mathematical analysis techniques are used in this paper in order to reduce the conservatism of the system. Finally, two examples are presented to demonstrate the advantages of the proposed tactics in this paper.

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