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改进的非线性中立型不确定时滞系统的鲁棒稳定性判据 被引量：1

Improved Robust Stability Criteria For Nonlinear Neutral Uncertain Time Delay Systems
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摘要 讨论了一类具有非线性扰动的中立型不确定时滞系统的鲁棒稳定性问题.基于增广的Lyapunov-Krasovskii泛函和自由权矩阵的方法,推导出一个以线性矩阵不等式形式给出的时滞相关稳定性的充分条件.最后通过一个数值算例说明了结果的有效性以及较已有工作的改进. The robust stability criteria for a class of neutral uncertainty delayed systems with nonlinear perturbation are discussed.Based on the augmented Lyapunov-Krasovskii functional and the free-weighting matrix method,a sufficient condition of delay-dependent stability expressed in terms of linear matrix inequalities is obtained. Finally, a numerical example is provided to show the effectiveness of the results and the improvement over the existing results.
作者 张苒 蒋威
机构地区 安徽大学数学科学学院
出处 《数学的实践与认识》 CSCD 北大核心 2013年第9期247-252,共6页 Mathematics in Practice and Theory
基金 国家自然科学基金(11071001) 高校博士点专项科研基金(20093401110001) 安徽省高校重大项目(KJ2010ZD02) 安徽省高校自筹经费项目(KJ20122338)
关键词 中立型 时滞 不确定性 非线性扰动 线性矩阵不等式 鲁棒稳定性 neutral system time delay uncertainty nonlinear perturbation LMI robust stability
分类号 O231 [理学—运筹学与控制论]
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参考文献12

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二级参考文献12

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共引文献15

同被引文献22

  • 1张友,井元伟,张嗣瀛.基于观测器的线性中立时滞系统的H_∞控制[J].控制与决策,2004,19(10):1137-1141. 被引量：13
  • 2Lien C H, Chen J Do Discrete-delay-independent and discrete-delay-dependent criteria for a class of neutral systems [J] Journal of Dynamic Systems, Measure- ment, and Control, 2003, 125(1): 33-41.
  • 3Chen C Y, Lin J W, Lee W I, et al. Fuzzy control for an oceanic structure., a case study in time-delay TLP system [J]. Journal of Vibration and Control, 2010, 16 (1): 147-160.
  • 4He Shuping, Liu Fei. Observer-based finite-time con- trol of time-delayed jump systems [J]. Applied Mathe- matics and Computation, 2010, 217(6): 2327-2338.
  • 5Lakshmanan S, Senthilkumar T, Balasubramaniam P. Improved results on robust stability of neutral systems with mixed time-varying delays and nonlinear perturba- tions [J] Applied Mathematical Modelling, 2011, 35 (11) : 5355-5368.
  • 6Liu Xinge, Wu Min, Martin R, et al. Delay-dependent stability analysis for uncertain neutral systems with time-varying delays [J] Mathematics and Computers in Simulation, 2007, 75(1): 15-27.
  • 7Chen Yun, Xue Anke, Lu Renquan, et al. On robustlyhen Yun, Xue Anke, Lu Renquan, et al. On robustlyexponential stability of uncertain neutral systems with time-varying delays and nonlinear perturbations[J]. Nonlinear Analysis: Theory, Methods : Applications, 2008, 68(8): 2464-2470.
  • 8Sun Jian, Liu G P. On Improved delay-dependent sta- bility criteria for neutral time-delay systems [J]. Euro- pean Journal of Control, 2009, 15(6) : 613-623.
  • 9Fang Mei, Park J H. A multiple integral approach to stability of neutral time-delay systems [J]. Applied Mathematics and Computation, 2013, 224: 714-718.
  • 10Lien C H. H., observepbased control for a class of un certain neutral time-delay systems via LMI optimization approach [J]. Journal of Optimization, Theory and Ap- plications, 2005, 127(1): 129-144.

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数学的实践与认识
2013年 第9期

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