关于区间矩阵稳定性、可控性、可观性的充要条件的注记
Notes on Necessary and Sufficient Conditions of Stability,Observability and Controllability for Interval Matrices
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摘要: 该文是对区间矩阵稳定性、可观性及可控性的充要条件的若干注记,给出其饼算子 U的明确定义以及一个大区间矩阵分解成若干个子矩阵之饼的具体表达式.并进一步说明一 个区间矩阵(无穷多个矩阵)的稳定性、可控性、可观性等价于该区间矩阵中的有限个矩阵的 相应性质.建议了寻找这有限个矩阵的计算方法和步骤.
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关键词:
- 区间矩阵 /
- Hurwitz稳定性 /
- Schur稳定性 /
- 可控性 /
- 可观性
Abstract: This paper is a note on the necessary and sufficient conditions of stability[1], observability and controllability[2] for interval matrices. An explicit definition of the union operator "U" is given, and an interval matrix can be expressed concretely as the union of its sub-interval matrices. It is illustrated that the property of stability, observability and controllability of an interval matrix (i. e. , a family of infinite number of matrices) is equivalent to the corresponding property of certain finite number of matrices. Also, an approach to seek the sub-interval matrices is proposed.-
Key words:
- Interval matrix /
- Hurwitz stability /
- Schur stability /
- controllability /
- observability
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