| 不确定系数多离散时滞的中立型系统的时滞相关鲁棒稳定性 |
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| 引用本文： | 马跃,高存臣,丛心尉. 不确定系数多离散时滞的中立型系统的时滞相关鲁棒稳定性[J]. 南京气象学院学报, 2012, 4(4): 380-384 |
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| 作者姓名： | 马跃 高存臣 丛心尉 |
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| 作者单位： | 中国海洋大学 数学科学学院,青岛,266100;中国海洋大学 数学科学学院,青岛,266100;中国海洋大学 数学科学学院,青岛,266100 |
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| 基金项目： | 国家自然科学基金(60974025) |
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| 摘 要： | 研究了一类时变不确定系数多离散时滞中立型系统的时滞相关鲁棒稳定性问题.利用线性矩阵不等式技术,提出了一种计算该系统自由权矩阵和时滞上界的简化方法,并在系统中考虑了中立项时滞和离散时滞,得到了上述系统为稳定与鲁棒稳定的一些充分条件.最后,用数值例子说明了该方法的有效性和较小的保守性.
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| 关 键 词： | 时滞中立型系统 时变系数 不确定系数 鲁棒稳定性 线性矩阵不等式 |
| 收稿时间： | 2011-09-26 |
Delay-dependent robust stability for uncertain coefficients neutral systems with multiple discrete delays |
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| MA Yue,GAO Cunchen and CONG Xinwei. Delay-dependent robust stability for uncertain coefficients neutral systems with multiple discrete delays[J]. Journal of Nanjing Institute of Meteorology, 2012, 4(4): 380-384 |
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| Authors: | MA Yue GAO Cunchen CONG Xinwei |
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| Affiliation: | School of Mathematical Sciences,Ocean University of China,Qingdao 266100;School of Mathematical Sciences,Ocean University of China,Qingdao 266100;School of Mathematical Sciences,Ocean University of China,Qingdao 266100 |
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| Abstract: | The delay-dependent robust stability is concerned for the neutral type systems with time-varying uncertain coefficients and discrete multiple delays in this paper.Based on linear matrix inequality,a simplified method is proposed to calculate the free weighing matrices and the upper bounds on the delays for the system.Both neutral delays and discrete delays are considered in the system and some sufficient conditions for the stability and robust stability of the system are derived.The numerical example is given to demonstrate that the proposed method is feasible and less conservative. |
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| Keywords: | time-delay neutral type system time-varying coefficient uncertain coefficients robust stability linear matrix inequality |
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