Improved stability conditions of time-varying delay systems based on new Lyapunov functionals
作者： Tae H. Lee , Ju H. Park
DOI: 10.1016/J.JFRANKLIN.2017.12.014
关键词:
摘要: This paper is concerned with the stability analysis of time-varying delay systems. Unlike the construction of augmented Lyapunov functional and multiple integral Lyapunov functional, novel three Lyapunov functionals are suggested which are delay product type functions and lead to less conservative results. Based on newly developed Lyapunov functionals, three stability criteria are derived and their superiority is described by three numerical examples.
sci-hub.se 参考文章(32)
A. Seuret, F. Gouaisbaut, Hierarchy of LMI conditions for the stability analysis of time-delay systems☆ Systems & Control Letters. ,vol. 81, pp. 1- 7 ,(2015) , 10.1016/J.SYSCONLE.2015.03.007
Hong-Bing Zeng, Ju H. Park, Shen-Ping Xiao, Yajuan Liu, Further results on sampled-data control for master–slave synchronization of chaotic Lur’e systems with time delay Nonlinear Dynamics. ,vol. 82, pp. 851- 863 ,(2015) , 10.1007/S11071-015-2199-6
Le Van Hien, Hieu Trinh, An enhanced stability criterion for time-delay systems via a new bounding technique Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 352, pp. 4407- 4422 ,(2015) , 10.1016/J.JFRANKLIN.2015.06.023
Hong-Bing Zeng, Yong He, Min Wu, Jinhua She, New results on stability analysis for systems with discrete distributed delay Automatica. ,vol. 60, pp. 189- 192 ,(2015) , 10.1016/J.AUTOMATICA.2015.07.017
Éva Gyurkovics, A note on Wirtinger-type integral inequalities for time-delay systems Automatica. ,vol. 61, pp. 44- 46 ,(2015) , 10.1016/J.AUTOMATICA.2015.07.033
Shengyuan Xu, James Lam, Baoyong Zhang, Yun Zou, New insight into delay‐dependent stability of time‐delay systems International Journal of Robust and Nonlinear Control. ,vol. 25, pp. 961- 970 ,(2015) , 10.1002/RNC.3120
Kaibo Shi, Xinzhi Liu, Hong Zhu, Shouming Zhong, On designing stochastic sampled-data controller for master–slave synchronization of chaotic Lur’e system via a novel integral inequality Communications in Nonlinear Science and Numerical Simulation. ,vol. 34, pp. 165- 184 ,(2016) , 10.1016/J.CNSNS.2015.10.024
PooGyeon Park, Won Il Lee, Seok Young Lee, Auxiliary function-based integral inequalities for quadratic functions and their applications to time-delay systems Journal of the Franklin Institute. ,vol. 352, pp. 1378- 1396 ,(2015) , 10.1016/J.JFRANKLIN.2015.01.004
O.M. Kwon, M.J. Park, Ju H. Park, S.M. Lee, E.J. Cha, Improved results on stability of linear systems with time-varying delays via Wirtinger-based integral inequality Journal of The Franklin Institute-engineering and Applied Mathematics. ,vol. 351, pp. 5386- 5398 ,(2014) , 10.1016/J.JFRANKLIN.2014.09.021
Hong-Bing Zeng, Yong He, Min Wu, Jinhua She, Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay IEEE Transactions on Automatic Control. ,vol. 60, pp. 2768- 2772 ,(2015) , 10.1109/TAC.2015.2404271