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多时滞奇异系统鲁棒稳定性分析 被引量：2

Robust stability of singular systems with multiple delays
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摘要 讨论了多时滞奇异系统的鲁棒稳定性问题.通过构造一种新的Lyapunov-Krasovskii泛函(LKF),结合离散化LKF理论,给出了多时滞奇异系统正则、脉冲自由和渐近稳定的充分条件,并将该结论推广到含有范数有界不确定性的多时滞奇异系统.数值算例验证了该方法的有效性和可行性. Robust stability problem of singular systems with multiple delays is discussed. A new Lyapunov-Krasovskii functional（LKF） is introduced, which combines the discretization method of LKF to give the condition such that the singular system with multiple delays is regular, impulse free and stable. Furthermore, the result is extended to uncertain singular system with multiple delays, where the parameter uncertainty is assumed to be norm bounded. Numerical examples illustrate the effectiveness and feasibility of the proposed method.
作者 刘丽丽 彭济根 吴保卫
机构地区 西安交通大学理学院 陕西师范大学数学与信息科学学院
出处 《控制与决策》 EI CSCD 北大核心 2011年第9期1321-1326,共6页 Control and Decision
基金 国家自然科学基金项目(10902062) 陕西省自然科学基础研究计划项目(SJ08A20) 陕西师范大学青年科技项目(200801009)
关键词 时滞奇异系统 鲁棒稳定 完全二次Lyapunov—Krasovskii泛函 线性矩阵不等式 singular time-delay systems robust stability complete quadratic Lyapunov-Krasovskii functional linear matrix inequality
分类号 O231 [理学—运筹学与控制论]
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参考文献16

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二级参考文献16

  • 1He Y, Wang Q G, Lin C, Wu M. Delay-range-dependent stability for systems with time-varying delay. Automatica, 2007, 43(2): 371-376.
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  • 7Suplin V, Fridman E, Shaked U. H∞ control of linear uncertain time-delay systems - a projection approach. IEEE Transactions on Automatic Control, 2006, 51(4): 680-685.
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控制与决策
2011年 第9期

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