Improved exponential stability criteria for uncertain neutral system with nonlinear parameter perturbations
作者： Fang Qiu , Bao-Tong Cui
DOI: 10.1007/S11633-010-0522-8
关键词:
摘要: This paper investigates the problem of robust exponential stability for neutral systems with time-varying delays and nonlinear perturbations. Based on a novel Lyapunov functional approach linear matrix inequality technique, new delay-dependent condition is derived. Since model transformation bounding techniques cross terms are avoided, criteria proposed in this less conservative than some previous approaches by using free-weighting matrices. One numerical example presented to illustrate effectiveness results.
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sci-hub.se 参考文章(28)
Jack K. Hale, Sjoerd M. Verduyn Lunel, Introduction to Functional Differential Equations ,(1993)
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
Fatima El Haoussi, El Houssaine Tissir, Robust H ∞ controller design for uncertain neutral systems via dynamic observer based output feedback International Journal of Automation and Computing. ,vol. 6, pp. 164- 170 ,(2009) , 10.1007/S11633-009-0164-X
Yong He, Qing-Guo Wang, Chong Lin, Min Wu, Augmented Lyapunov functional and delay-dependent stability criteria for neutral systems International Journal of Robust and Nonlinear Control. ,vol. 15, pp. 923- 933 ,(2005) , 10.1002/RNC.1039
Wen-An ZHANG, Li YU, Delay-dependent Robust Stability of Neutral Systems with Mixed Delays and Nonlinear Perturbations Acta Automatica Sinica. ,vol. 33, pp. 863- 866 ,(2007) , 10.1360/AAS-007-0863
Pin-Lin Liu, Exponential stability for linear time-delay systems with delay dependence Journal of the Franklin Institute. ,vol. 340, pp. 481- 488 ,(2003) , 10.1016/J.JFRANKLIN.2003.10.003
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
Qing-Long Han, Robust stability for a class of linear systems with time-varying delay and nonlinear perturbations Computers & Mathematics with Applications. ,vol. 47, pp. 1201- 1209 ,(2004) , 10.1016/S0898-1221(04)90114-9
Ai-Guo Wu, Guang-Ren Duan, On delay-independent stability criteria for linear time-delay systems International Journal of Automation and Computing. ,vol. 4, pp. 95- 100 ,(2007) , 10.1007/S11633-007-0095-3