Delay-distribution-dependent stability criteria for neutral systems with stochastic discrete delay

作者: Jun Xing , Jinhai Zhang , Daqing Zhang

DOI:

关键词:

摘要: This paper proposes a new type of neutral system model with random discrete delay. The problem global exponential stability in the mean square sense for proposed is investigated. By defining an appropriate Lyapunov-Krasovskii functional and by employing developed free weight matrices technique to achieve delay distribution dependence, sufficient condition derived term linear matrix inequalities. Different from existing criteria, one depends on not only size but also probability it taking values interval. Numerical examples suggest that results are effective improvement over previous ones.

参考文章(19)
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
K. Gu, An integral inequality in the stability problem of time-delay systems conference on decision and control. ,vol. 3, pp. 2805- 2810 ,(2000) , 10.1109/CDC.2000.914233
O.M. Kwon, Ju H. Park, S.M. Lee, On stability criteria for uncertain delay-differential systems of neutral type with time-varying delays Applied Mathematics and Computation. ,vol. 197, pp. 864- 873 ,(2008) , 10.1016/J.AMC.2007.08.048
Yong He, Qing-Guo Wang, Chong Lin, Min Wu, Technical communique: Delay-range-dependent stability for systems with time-varying delay Automatica. ,vol. 43, pp. 371- 376 ,(2007) , 10.1016/J.AUTOMATICA.2006.08.015
Dong Yue, Engang Tian, Yijun Zhang, Chen Peng, Delay-distribution-dependent robust stability of uncertain systems with time-varying delay International Journal of Robust and Nonlinear Control. ,vol. 19, pp. 377- 393 ,(2009) , 10.1002/RNC.1314
Jinhui Zhang, Peng Shi, Jiqing Qiu, Robust stability criteria for uncertain neutral system with time delay and nonlinear uncertainties Chaos, Solitons & Fractals. ,vol. 38, pp. 160- 167 ,(2008) , 10.1016/J.CHAOS.2006.10.068
Zhengrong Zhao, Wei Wang, Bin Yang, Delay and its time-derivative dependent robust stability of neutral control system Applied Mathematics and Computation. ,vol. 187, pp. 1326- 1332 ,(2007) , 10.1016/J.AMC.2006.09.042
Yong He, Min Wu, Jin-Hua She, Guo-Ping Liu, Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays Systems & Control Letters. ,vol. 51, pp. 57- 65 ,(2004) , 10.1016/S0167-6911(03)00207-X
B. Wang, X. Liu, S. Zhong, New stability analysis for uncertain neutral system with time-varying delay Applied Mathematics and Computation. ,vol. 197, pp. 457- 465 ,(2008) , 10.1016/J.AMC.2007.07.034