| 时滞广义时变系统的渐近稳定与镇定 |
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| 引用本文： | 毕淑慧,高存臣.时滞广义时变系统的渐近稳定与镇定[J].中国海洋大学学报(自然科学版),2006,36(Z1):212-214. |
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| 作者姓名： | 毕淑慧 高存臣 |
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| 作者单位： | 中国海洋大学数学系,山东,青岛,266071 |
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| 基金项目： | 国家高技术研究发展计划(863计划);山东省青岛市自然科学基金 |
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| 摘 要： | 研究了时滞广义时变系统的渐近稳定和镇定问题。首先利用相关不等式,通过建立Lyapunov方程,给出了1个时滞广义时变系统无脉冲、渐近稳定性的充分条件。然后,基于这一工作,利用Riccati方程,进一步研究了时滞广义时变系统的镇定问题。最后,举例说明该结论的可行性。
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| 关 键 词： | 时滞时变广义系统 Lyapunov方程 一致正则 渐近稳定性 |
| 文章编号： | 1672-5174(2006)03Ⅱ-212-03 |
| 修稿时间： | 2005年10月21 |
The Asymptotic Stability and Stabilization for Singular Time-Varying Systems with Time-Delay |
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| BI Shu-Hui,GAO Cun-Chen.The Asymptotic Stability and Stabilization for Singular Time-Varying Systems with Time-Delay[J].Periodical of Ocean University of China,2006,36(Z1):212-214. |
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| Authors: | BI Shu-Hui GAO Cun-Chen |
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| Abstract: | In this paper,the problem of asymptotic stability and the problem of stabilization for singular time-varying systems with time-delay are studied.First of all,a sufficient condition is derived based on matrix inequality,in which the system is found to be impulse-free and asymptotic stable.furthermore,based on this result,the problem of stabilization is considered by using the Riccati equation corresponding to this Lyapunov equation.Finally an example is given to illustrate the validity of the main results proposed. |
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| Keywords: | singular time-varying systems with time-delay Lyapunov equation uniform regularity asymptotic stability |
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