| 关于线性切换系统的共同Lyapunov函数 |
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| 引用本文： | 陈征,高岩.关于线性切换系统的共同Lyapunov函数[J].上海理工大学学报,2009,31(4). |
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| 作者姓名： | 陈征 高岩 |
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| 作者单位： | 上海理工大学,管理学院,上海,200093 |
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| 基金项目： | 国家自然科学基金资助项目，上海市研究生创新基金资助项目 |
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| 摘 要： | 研究了离散和连续线性切换系统的共同二次Lyapunov函数.对于系统矩阵为分块上三角或分块下三角矩阵的两种情形,给出了一些关于共同二次Lyapunov函数的性质.
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| 关 键 词： | 切换系统 共同二次Lyapunov函数 稳定性 |
Common lyapunov functions for switched linear systems |
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| CHEN Zheng,GAO Yan.Common lyapunov functions for switched linear systems[J].Journal of University of Shanghai For Science and Technology,2009,31(4). |
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| Authors: | CHEN Zheng GAO Yan |
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| Institution: | Business School;University of Shanghai for Science and Technology;Shanghai 200093;China |
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| Abstract: | The common quadratic Lyapunov functions for a family of discrete or continuous stable linear systems which are called switched systems were studied.If system matrices are block upper triangular matrices or block lower triangular matrices,some results about the common quadratic Lyapunov functions were provided. |
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| Keywords: | switched systems common quadratic Lyapunov functions stability |
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