| 引用本文: | 肖建.具有结构式不确定性线性系统特征根的鲁棒群聚[J].控制理论与应用,1996,13(3):356~361.[点击复制] |
| XIAO Jian.Robust Root Clustering of Linear Systems with Structured Uncertainties[J].Control Theory and Technology,1996,13(3):356~361.[点击复制] |
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| 具有结构式不确定性线性系统特征根的鲁棒群聚 |
| Robust Root Clustering of Linear Systems with Structured Uncertainties |
| 摘要点击 1043 全文点击 456 投稿时间：1995-10-16 |
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| DOI编号 |
| 1996,13(3):356-361 |
| 中文关键词 线性系统 确定性 特征根群聚 结构式不确定性 |
| 英文关键词 linear system stability root clustering structured uncertainty |
| 基金项目 |
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| 中文摘要 |
| 采用广义Lyapunov方程，讨论具有结构式不确定性线性系统的特征根在复平面上某些区域内的鲁棒群聚性.如果标称矩阵的所有特征根都在复平面上的特定区域内，本文所给出充分条件将保证当存在有结构式不确定性时矩阵的特征根也在同一区域内.所提出的判断比当前文献中的结论具有较少的保守性. |
| 英文摘要 |
| Using generalized Lyapunov equation approach，this paper studies the problem of root clustering in some subregions of the complex plane for the linear time -invariant systems with structured uncertainties. If all the eigenvalues of the nominal matrix are within a specific region of complex plane，the proposed sufficient conditions will guarantee the root clustering of the perturbed matrix in the same region under structured uncertainties. The criteria presented here are less conservative than the results currently available in the literature. |