Novel delay-derivative-dependent stability criteria using new bounding techniques
作者： Xian-Ming Zhang , Qing-Long Han
DOI: 10.1002/RNC.2829
关键词:
摘要: This paper studies the stability of linear systems with interval time‐varying delays. By constructing a new Lyapunov–Krasovskii functional, two delay‐derivative‐dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov–Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach …
sci-hub.se 参考文章(23)
Jie Chen, Vladimir Kharitonov, Kequin Gu, Stability of Time-Delay Systems ,(2003)
Jinliang Liu, Dong Yue, Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays International Journal of Robust and Nonlinear Control. ,vol. 22, pp. 827- 840 ,(2012) , 10.1002/RNC.1729
Qing-Long Han, Brief paper: A discrete delay decomposition approach to stability of linear retarded and neutral systems Automatica. ,vol. 45, pp. 517- 524 ,(2009) , 10.1016/J.AUTOMATICA.2008.08.005
Qing-Long Han, New results for delay-dependent stability of linear systems with time-varying delay International Journal of Systems Science. ,vol. 33, pp. 213- 228 ,(2002) , 10.1080/00207720110092207
Qing-Long Han, Technical communique: Absolute stability of time-delay systems with sector-bounded nonlinearity Automatica. ,vol. 41, pp. 2171- 2176 ,(2005) , 10.1016/J.AUTOMATICA.2005.08.005
Qing-Long Han, Technical communique: Improved stability criteria and controller design for linear neutral systems Automatica. ,vol. 45, pp. 1948- 1952 ,(2009) , 10.1016/J.AUTOMATICA.2009.03.019
PooGyeon Park, Jeong Wan Ko, Changki Jeong, Reciprocally convex approach to stability of systems with time-varying delays Automatica. ,vol. 47, pp. 235- 238 ,(2011) , 10.1016/J.AUTOMATICA.2010.10.014
Xian-Ming Zhang, Qing-Long Han, Stability of linear systems with interval time-varying delays arising from networked control systems conference of the industrial electronics society. pp. 225- 230 ,(2010) , 10.1109/IECON.2010.5675203
Hanyong Shao, Technical communique: Improved delay-dependent stability criteria for systems with a delay varying in a range Automatica. ,vol. 44, pp. 3215- 3218 ,(2008) , 10.1016/J.AUTOMATICA.2008.09.003
Jian Sun, G. P. Liu, Jie Chen, Delay‐dependent stability and stabilization of neutral time‐delay systems International Journal of Robust and Nonlinear Control. ,vol. 19, pp. 1364- 1375 ,(2009) , 10.1002/RNC.1384