| 2-D系统的稳定性问题 |
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| 引用本文： | 赵胜民,唐万生,李光泉.2-D系统的稳定性问题[J].自动化学报,2002,28(4):620-624. |
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| 作者姓名： | 赵胜民 唐万生 李光泉 |
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| 作者单位： | 1.天津大学系统工程研究所,天津 |
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| 基金项目： | 天津市自然科学基金 ( 96 36 0 9511)资助 |
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| 摘 要： | 以线性矩阵不等式为工具,研究有关2-D系统第二类Fornasini-Marchesini模型的稳
定性的问题.首先提出了该类系统的一种Lyaptunov不等式,由此给出了该类系统渐近稳定的新
的判别条件.其次,给出了该类系统能稳定化的充分条件和反馈矩阵的求法.最后,提出了一种
求该类系统的稳定性裕度下界的方法,并指出了利用该方法得到的稳定性裕度的下界大于原有
文献中给出的下界.
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| 关 键 词： | 2-D系统 渐近稳定性 能稳定性 稳定性裕度 线性矩阵不等式 |
| 收稿时间： | 2000-6-22 |
| 修稿时间： | 2000年6月22日 |
STABILITY OF 2-D STATE-SPACE SYSTEMS |
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| ZHAO Sheng-Min,TANG Wan-Sheng,LI Guang-Quan.STABILITY OF 2-D STATE-SPACE SYSTEMS[J].Acta Automatica Sinica,2002,28(4):620-624. |
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| Authors: | ZHAO Sheng-Min TANG Wan-Sheng LI Guang-Quan |
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| Affiliation: | 1.Institute of Systems Engineering,Tianjin University,Tianjin |
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| Abstract: | In this paper, the stability problems for the second Fornasini-Marchesini model of 2-D systems are investigated by using linear matrix inequality. First, a kind of 2-D Lyapunov inequality is proposed, and some new criteria for asymptotical stability of the systems are given. Secondly, the sufficient conditions for stabilization of the systems are derived and the algorithm for determining the feedback matrix is presented, too. Finally, a new algorithm for computing a lower bound for the stability margin of the systems is proposed. It is shown that the lower bound obtained by this algorithm is less conservative than the existing ones. |
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| Keywords: | D systems asymptotical stability stabilization stability margin linear matrix inequality |
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