中立型变时延控制系统渐近稳定性研究

Research on Asymptotic Stability for Neutral Control Systems with Time-Varying Delay

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摘要研究具有变时延的中立型控制系统的渐近稳定性,利用三重Lyapunov泛函构造改进型的LyapunovKrasovskii泛函,并引入少量自由权矩阵和利用交互凸组合等有效估计泛函导函数上界,基于线性矩阵不等式(LMI)建立保守性较小的渐近稳定性判据.所得结论易于借助Matlab工具箱LMI进行验证. The asymptotic stability for neutral system with interval time‐varying delays has been studied .Based on triple functional technique and choosing one improved Lyapunov‐Krasovskii functional ,few free‐weighting matrices are introduced and reciprocal convex technique is used to estimate the derivative of Lyapunov‐Krasovskii functional .One less conservative criterion on asymptotic stability will be presented via linear matrix inequalities （LMIs） ,which can be easily checked by resorting to LMI in Matlab Toolbox .

作者李楠李涛费树岷杨欣

机构地区南京航空航天大学自动化学院东南大学复杂工程系统测量与控制教育部重点实验室

出处《合肥学院学报（自然科学版）》 2014年第4期1-6,共6页 Journal of Hefei University :Natural Sciences

基金国家自然科学基金项目(61172135) 江苏省自然科学基金项目(BK201212211)资助

关键词中立型系统时变时延渐近稳定性三重积分泛函线性矩阵不等式(LMI) neutral system time-varying delay asymptotic stability triple integral Lyapunovfunctional linear matrix inequality （LMI）

分类号 TP273 [自动化与计算机技术—检测技术与自动化装置]

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1Park J H,Kwon O. On New Stability Criterion for Delay Differential Systems of Neutral Type [J]. AppliedMathematics and Computation, 2005,162(2): 627-637.
2Xiong L L, Zhong S M, Li D Y. Novel Delay-Dependent Asymptotical Stability of Neutral Systems with NonlinearPerturbations [J]. Journal of Computational and Applied Mathematics, 2009,232(2) : 505-513.
3Han Q L. A Discrete Delay Decomposition Approach to Stability of Linear Retarded and Neutral Systems [J].Automatica, 2009,45(2) : 517-524.
4Han Q L. Improved Stability Criteria and Controller Design for Linear Neutral Systems [J]. Automatica, 2009,45(8): 1948-1952.
5Qian W,Liu J,Sun Y X,et al. A Less Conservative Robust Stability Criteria for Uncertain Neutral Systems withMixed Delays [J]. Mathematics and Computers in Simulation, 2010, 80(5) : 1007-1017.
6Qiu F,Cui B T, Ji Y. Further Results on Robust Stability of Neutral System with Mixed Time-varying Delays andNonlinear Perturbations [J]. Nonlinear Analysis: Real World Applications, 2010, 11(2) : 895-906.
7Qiu F,Cui B T. A Delay-Dividing Approach to Stability of Neutral System with Mixed Delays and NonlinearPerturbations [J]_ Applied Mathematical Modelling, 2010,34(11) : 3701-3707.
8Li T,Song A G, Fei S M. Delay-derivative-dependent Stability for Delayed Neural Networks with UnboundedDistributed Delay [J]. IEEE Transactions on Neural Networks, 2010,21(8) : 1365-1371.
9Park P G, Jeong W K,Changki J. Reciprocally Convex Approach to Stability of Systems with Time-varying Delays[J]. Automatica, 2011,47(1): 235-236.
10Sun J, Liu G P,Chen J, et al. Lmproved Delay-range-dependent Stability Criteria for Linear Systems with Time-varying Delays [J], Automatica,2010,46(2) : 466-470.

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7傅予力,廖晓昕.中立型控制系统的BIBO控制器设计[J].华中理工大学学报,2000,28(4):72-73.
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10杨峥嵘,甘骏人.一种用C语言实现的获取导函数的算法[J].科技通讯（上海船厂）,1990(4):58-63.

合肥学院学报（自然科学版）

2014年第4期

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中立型变时延控制系统渐近稳定性研究

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