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比例时滞线性系统的反馈镇定 被引量：4

Feedback Stabilization of Linear Systems with Proportional Delay
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摘要 研究了比例时滞线性系统的反馈镇定问题.利用标准反馈控制与时滞反馈控制实现系统不稳定平衡点的镇定.构造合适的李亚普诺夫泛函,得出了闭环系统稳定的几个充分条件.通过实例说明了方法的有效性.* The feedback stabilization problem of linear systems with proportional delays is studied. Standard feedback control and delay feedback control are employed to stabilize the system to an unstable equilibria. Sufficient conditions for stabilization of the closed-loop system are derived by constructing proper Lyapunov functionals. Several examples are given to illustrate the effectiveness of the proposed criterion.
作者 谭满春
机构地区 暨南大学信息科学技术学院
出处 《信息与控制》 CSCD 北大核心 2006年第6期690-694,731,共6页 Information and Control
基金 国家自然科学基金资助项目(50578064) 广东省自然科学基金资助项目(06025219)
关键词 比例时滞系统 状态反馈控制 反馈镇定 渐近稳定件 system with proportional delay state feedback control feedback stabilization asymptotic stability
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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参考文献12

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共引文献7

同被引文献27

  • 1Zhang H, Wang Z. Global asymptotic stability of delayed cellular neural networks. IEEE Transactions on Neural Networks, 2007, 18(3): 947-950.
  • 2Kao Y, Gao C. Global exponential stability analysis for cellular neural networks with variable coefficient and delays. Neural Computing and Applications, 2008, 17(3): 291-296.
  • 3Chen W, Zheng W. A new method for complete stability analysis of cellular neural networks with time delay. IEEE Transactions on Neural Networks, 2010, 21(7): 1126-1139.
  • 4Feng Z, Lam J. Stability and dissipativity analysis of distributed delay cellular neural networks. IEEE Transactions on Neural Networks, 2011, 22(6): 976-98l.
  • 5Yuan K, Cao J, Deng J. Exponential stability and periodic solutions of fuzzy cellular neural networks with time-varying delays. Neurocomputing, 2006, 69(13-15): 1619-1627.
  • 6Zhou L, Hu G. Global exponential periodicity and stability of cellular neural networks with variable and distributed delays. Applied Mathematics and Computation, 2008, 195(2): 402-411.
  • 7Zhang Q, Luo W, Yang L. Analysis of global exponential stability and periodic solutions of FCNNs with constant delays and time-varying delays. Journal of Applied Mathematics and Computing, 2011, 37(1-2): 459-471.
  • 8Espejo S, Carmona R, Castro R D, Vazquez A R. A VL SI-oriented continuous-time CNN model. International Journal of Circuit Theory and Applications, 1996, 24(3): 341-356.
  • 9Wan A H, Peng J G, Wang M S. Exponential stability of a class of generalized cellular neural networks with time-varying delays. Neurocomputing, 2006, 69(10-12): 959-963.
  • 10Zhang Y, Li Y, Ye K. Existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays. Abstract and Applied Analysis, 2009, doi: 10.1155/2009/957475, Atticle ID 957475: 1-15.

引证文献4

二级引证文献9

信息与控制
2006年 第6期

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