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多组时滞大型控制系统的镇定 被引量:2

^Stabilization of Large Scale Control Systems with Multi-group Time-delays
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摘要 给出了由无时滞线性定常闭环孤立控制子系统的渐近稳定性推出多组时滞线性定常闭环大型控制系统的渐近稳定性的充分条件,并说明了所得结果可以推广到多组时滞线性时变闭环大型控制系统与多组时滞线性中立型定常(或时变)闭环大型控制系统.所得结果改进了前人的结果,通过参数镇定域的比较知,可使参数镇定域扩大为原来的6倍。 A sufficient condition is given, which ensures that the asymptotic stability of linear constant closed -loop isolated control subsystems without time-delays implies the asymptotic stability of linear constant closed-loop large scale control system with multi-group time-delays under certain conditions. And it is explained that the result can be extended to linear time-varying closed-loop large scale control system with multi-group time-delays and linear neutral type constant (or time-varying) closed-loop large scale. control system with multi-group time-delays, thus improving previous results. By the comparison of parameter stabilization region, the result is obtained that makes parameter stabilization region be expanded to 6 time of original one.
出处 《控制与决策》 EI CSCD 北大核心 1995年第1期34-39,共6页 Control and Decision
基金 山东省自然科学基金
关键词 多组时滞 大型 控制系统 镇定 time-delay, large scale control system, stabilization, asymptotic stability
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同被引文献11

  • 1高存臣 刘永清.多组滞后区间系数线性连续控制系统的鲁棒稳定性(1).1995中国控制与决策学术年会论文集[M].沈阳:东北大学出版社,1995.9-12.
  • 2Tang Gong-You. Stability for linear large-scale systems with strong coupling in single direction [ J ]. AMSE Advances in Modelling & Analysis C, 2002, 57(1): 35-43.
  • 3Hale J K. Theory of Functional Differential Equation [ M]. New York: Springer-Verlag, 1979.
  • 4Cao Yong-Yan , Sun You-Xian, Cheng Chu-Wang. Delay-dependent robust stabilization of uncertain systems with multiple state delays[J]. IEEE Tran Auto Contr, 1998, 43(11): 1608-1612.
  • 5Gao Cunchen,Advances in Modelling & Analysis.C,1995年,45卷,2期,21页
  • 6Liu Yongqing,Advances in Modelling & Analysis.C,1995年,45卷,2期,1页
  • 7高永臣,控制与决策,1995年,10卷,1期,34页
  • 8高存臣,1995中国控制与决策学术年会论文集,1995年,9页
  • 9刘永清,大型动力系统的理论与应用-滞后,稳定与控制:卷3,1992年
  • 10Liu Yongqing,Proc Int AMSE Conf Singals Data Systems,1991年

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